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Finding the Fourth Proportional to 527,082.95, 727,373.42 and 285,365.68

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Solution

The fourth proportional to 527,082.95, 727,373.42 and 285,365.68 is: 393,804.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,082.95 : 727,373.42 = 285,365.68 : x
  2. Step 2: Convert to fraction form
    527,082.95/727,373.42 = 285,365.68/x
  3. Step 3: Cross multiply
    527,082.95x = 727,373.42 × 285,365.68
  4. Step 4: Simplify right side
    527,082.95x = 207,567,412,528.56
  5. Step 5: Solve for x
    x = 207,567,412,528.56/527,082.95
  6. Step 6: Final answer
    x = 393,804.08

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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.