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Finding the Fourth Proportional to 502,429.68, 693,352.80 and 276,089.76

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Solution

The fourth proportional to 502,429.68, 693,352.80 and 276,089.76 is: 381,003.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,429.68 : 693,352.80 = 276,089.76 : x
  2. Step 2: Convert to fraction form
    502,429.68/693,352.80 = 276,089.76/x
  3. Step 3: Cross multiply
    502,429.68x = 693,352.80 × 276,089.76
  4. Step 4: Simplify right side
    502,429.68x = 191,427,608,147.33
  5. Step 5: Solve for x
    x = 191,427,608,147.33/502,429.68
  6. Step 6: Final answer
    x = 381,003.78

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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.