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Finding the Fourth Proportional to 506,287.02, 698,655.15 and 291,434.70

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Solution

The fourth proportional to 506,287.02, 698,655.15 and 291,434.70 is: 402,167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,287.02 : 698,655.15 = 291,434.70 : x
  2. Step 2: Convert to fraction form
    506,287.02/698,655.15 = 291,434.70/x
  3. Step 3: Cross multiply
    506,287.02x = 698,655.15 × 291,434.70
  4. Step 4: Simplify right side
    506,287.02x = 203,612,354,043.71
  5. Step 5: Solve for x
    x = 203,612,354,043.71/506,287.02
  6. Step 6: Final answer
    x = 402,167.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.