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Finding the Fourth Proportional to 527,299.95, 727,670.31 and 285,577

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Solution

The fourth proportional to 527,299.95, 727,670.31 and 285,577 is: 394,094.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,299.95 : 727,670.31 = 285,577 : x
  2. Step 2: Convert to fraction form
    527,299.95/727,670.31 = 285,577/x
  3. Step 3: Cross multiply
    527,299.95x = 727,670.31 × 285,577
  4. Step 4: Simplify right side
    527,299.95x = 207,805,904,118.87
  5. Step 5: Solve for x
    x = 207,805,904,118.87/527,299.95
  6. Step 6: Final answer
    x = 394,094.30

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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.