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Finding the Fourth Proportional to 502,909.11, 693,730.53 and 299,025.81

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Solution

The fourth proportional to 502,909.11, 693,730.53 and 299,025.81 is: 412,486.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,909.11 : 693,730.53 = 299,025.81 : x
  2. Step 2: Convert to fraction form
    502,909.11/693,730.53 = 299,025.81/x
  3. Step 3: Cross multiply
    502,909.11x = 693,730.53 × 299,025.81
  4. Step 4: Simplify right side
    502,909.11x = 207,443,333,654.98
  5. Step 5: Solve for x
    x = 207,443,333,654.98/502,909.11
  6. Step 6: Final answer
    x = 412,486.73

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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.