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Finding the Fourth Proportional to 523,109.10, 784,663.65 and 397,137.90

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Solution

The fourth proportional to 523,109.10, 784,663.65 and 397,137.90 is: 595,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,109.10 : 784,663.65 = 397,137.90 : x
  2. Step 2: Convert to fraction form
    523,109.10/784,663.65 = 397,137.90/x
  3. Step 3: Cross multiply
    523,109.10x = 784,663.65 × 397,137.90
  4. Step 4: Simplify right side
    523,109.10x = 311,619,674,167.34
  5. Step 5: Solve for x
    x = 311,619,674,167.34/523,109.10
  6. Step 6: Final answer
    x = 595,706.85

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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.