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Finding the Fourth Proportional to 527,091.84, 727,387.16 and 285,374.56

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Solution

The fourth proportional to 527,091.84, 727,387.16 and 285,374.56 is: 393,817.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,091.84 : 727,387.16 = 285,374.56 : x
  2. Step 2: Convert to fraction form
    527,091.84/727,387.16 = 285,374.56/x
  3. Step 3: Cross multiply
    527,091.84x = 727,387.16 × 285,374.56
  4. Step 4: Simplify right side
    527,091.84x = 207,577,790,734.65
  5. Step 5: Solve for x
    x = 207,577,790,734.65/527,091.84
  6. Step 6: Final answer
    x = 393,817.12

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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.