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Finding the Fourth Proportional to 527,542.56, 727,926.50 and 312,647.94

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Solution

The fourth proportional to 527,542.56, 727,926.50 and 312,647.94 is: 431,405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,542.56 : 727,926.50 = 312,647.94 : x
  2. Step 2: Convert to fraction form
    527,542.56/727,926.50 = 312,647.94/x
  3. Step 3: Cross multiply
    527,542.56x = 727,926.50 × 312,647.94
  4. Step 4: Simplify right side
    527,542.56x = 227,584,719,133.17
  5. Step 5: Solve for x
    x = 227,584,719,133.17/527,542.56
  6. Step 6: Final answer
    x = 431,405.42

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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.