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Finding the Fourth Proportional to 567,221.28, 782,728.50 and 312,572.46

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Solution

The fourth proportional to 567,221.28, 782,728.50 and 312,572.46 is: 431,329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,221.28 : 782,728.50 = 312,572.46 : x
  2. Step 2: Convert to fraction form
    567,221.28/782,728.50 = 312,572.46/x
  3. Step 3: Cross multiply
    567,221.28x = 782,728.50 × 312,572.46
  4. Step 4: Simplify right side
    567,221.28x = 244,659,372,757.11
  5. Step 5: Solve for x
    x = 244,659,372,757.11/567,221.28
  6. Step 6: Final answer
    x = 431,329.68

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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.