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Finding the Fourth Proportional to 502,426.98, 693,308.91 and 287,517.78

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Solution

The fourth proportional to 502,426.98, 693,308.91 and 287,517.78 is: 396,751.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,426.98 : 693,308.91 = 287,517.78 : x
  2. Step 2: Convert to fraction form
    502,426.98/693,308.91 = 287,517.78/x
  3. Step 3: Cross multiply
    502,426.98x = 693,308.91 × 287,517.78
  4. Step 4: Simplify right side
    502,426.98x = 199,338,638,657.42
  5. Step 5: Solve for x
    x = 199,338,638,657.42/502,426.98
  6. Step 6: Final answer
    x = 396,751.46

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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.