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Finding the Fourth Proportional to 502,456.68, 693,421.22 and 287,591.83

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Solution

The fourth proportional to 502,456.68, 693,421.22 and 287,591.83 is: 396,894.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,456.68 : 693,421.22 = 287,591.83 : x
  2. Step 2: Convert to fraction form
    502,456.68/693,421.22 = 287,591.83/x
  3. Step 3: Cross multiply
    502,456.68x = 693,421.22 × 287,591.83
  4. Step 4: Simplify right side
    502,456.68x = 199,422,276,606.06
  5. Step 5: Solve for x
    x = 199,422,276,606.06/502,456.68
  6. Step 6: Final answer
    x = 396,894.47

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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.