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Finding the Fourth Proportional to 527,231.16, 727,581 and 285,513.84

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Solution

The fourth proportional to 527,231.16, 727,581 and 285,513.84 is: 394,010.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,231.16 : 727,581 = 285,513.84 : x
  2. Step 2: Convert to fraction form
    527,231.16/727,581 = 285,513.84/x
  3. Step 3: Cross multiply
    527,231.16x = 727,581 × 285,513.84
  4. Step 4: Simplify right side
    527,231.16x = 207,734,445,221.04
  5. Step 5: Solve for x
    x = 207,734,445,221.04/527,231.16
  6. Step 6: Final answer
    x = 394,010.18

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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.