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Finding the Fourth Proportional to 527,052.96, 727,338.78 and 285,340.59

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Solution

The fourth proportional to 527,052.96, 727,338.78 and 285,340.59 is: 393,773.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,052.96 : 727,338.78 = 285,340.59 : x
  2. Step 2: Convert to fraction form
    527,052.96/727,338.78 = 285,340.59/x
  3. Step 3: Cross multiply
    527,052.96x = 727,338.78 × 285,340.59
  4. Step 4: Simplify right side
    527,052.96x = 207,539,276,615.08
  5. Step 5: Solve for x
    x = 207,539,276,615.08/527,052.96
  6. Step 6: Final answer
    x = 393,773.10

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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.