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Finding the Fourth Proportional to 502,431.68, 693,355.56 and 276,091.76

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Solution

The fourth proportional to 502,431.68, 693,355.56 and 276,091.76 is: 381,006.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,431.68 : 693,355.56 = 276,091.76 : x
  2. Step 2: Convert to fraction form
    502,431.68/693,355.56 = 276,091.76/x
  3. Step 3: Cross multiply
    502,431.68x = 693,355.56 × 276,091.76
  4. Step 4: Simplify right side
    502,431.68x = 191,429,756,866.19
  5. Step 5: Solve for x
    x = 191,429,756,866.19/502,431.68
  6. Step 6: Final answer
    x = 381,006.54

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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.