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Finding the Fourth Proportional to 523,107.85, 784,661.78 and 491,615.05

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Solution

The fourth proportional to 523,107.85, 784,661.78 and 491,615.05 is: 737,422.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,107.85 : 784,661.78 = 491,615.05 : x
  2. Step 2: Convert to fraction form
    523,107.85/784,661.78 = 491,615.05/x
  3. Step 3: Cross multiply
    523,107.85x = 784,661.78 × 491,615.05
  4. Step 4: Simplify right side
    523,107.85x = 385,751,537,749.71
  5. Step 5: Solve for x
    x = 385,751,537,749.71/523,107.85
  6. Step 6: Final answer
    x = 737,422.58

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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.