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Finding the Fourth Proportional to 527,099.82, 727,398.18 and 285,382.56

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Solution

The fourth proportional to 527,099.82, 727,398.18 and 285,382.56 is: 393,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,099.82 : 727,398.18 = 285,382.56 : x
  2. Step 2: Convert to fraction form
    527,099.82/727,398.18 = 285,382.56/x
  3. Step 3: Cross multiply
    527,099.82x = 727,398.18 × 285,382.56
  4. Step 4: Simplify right side
    527,099.82x = 207,586,754,747.74
  5. Step 5: Solve for x
    x = 207,586,754,747.74/527,099.82
  6. Step 6: Final answer
    x = 393,828.16

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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.