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Finding the Fourth Proportional to 527,152.58, 727,471 and 285,435.28

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Solution

The fourth proportional to 527,152.58, 727,471 and 285,435.28 is: 393,900.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,152.58 : 727,471 = 285,435.28 : x
  2. Step 2: Convert to fraction form
    527,152.58/727,471 = 285,435.28/x
  3. Step 3: Cross multiply
    527,152.58x = 727,471 × 285,435.28
  4. Step 4: Simplify right side
    527,152.58x = 207,645,888,576.88
  5. Step 5: Solve for x
    x = 207,645,888,576.88/527,152.58
  6. Step 6: Final answer
    x = 393,900.92

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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.