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Finding the Fourth Proportional to 502,164.23, 693,107.15 and 287,428.77

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Solution

The fourth proportional to 502,164.23, 693,107.15 and 287,428.77 is: 396,720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,164.23 : 693,107.15 = 287,428.77 : x
  2. Step 2: Convert to fraction form
    502,164.23/693,107.15 = 287,428.77/x
  3. Step 3: Cross multiply
    502,164.23x = 693,107.15 × 287,428.77
  4. Step 4: Simplify right side
    502,164.23x = 199,218,934,165.56
  5. Step 5: Solve for x
    x = 199,218,934,165.56/502,164.23
  6. Step 6: Final answer
    x = 396,720.68

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1.5x scale

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.