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Finding the Fourth Proportional to 522,901.10, 784,351.65 and 491,408.30

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Solution

The fourth proportional to 522,901.10, 784,351.65 and 491,408.30 is: 737,112.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,901.10 : 784,351.65 = 491,408.30 : x
  2. Step 2: Convert to fraction form
    522,901.10/784,351.65 = 491,408.30/x
  3. Step 3: Cross multiply
    522,901.10x = 784,351.65 × 491,408.30
  4. Step 4: Simplify right side
    522,901.10x = 385,436,910,928.70
  5. Step 5: Solve for x
    x = 385,436,910,928.70/522,901.10
  6. Step 6: Final answer
    x = 737,112.45

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.