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Finding the Fourth Proportional to 567,029.28, 782,502.24 and 312,379.68

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Solution

The fourth proportional to 567,029.28, 782,502.24 and 312,379.68 is: 431,084.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,029.28 : 782,502.24 = 312,379.68 : x
  2. Step 2: Convert to fraction form
    567,029.28/782,502.24 = 312,379.68/x
  3. Step 3: Cross multiply
    567,029.28x = 782,502.24 × 312,379.68
  4. Step 4: Simplify right side
    567,029.28x = 244,437,799,330.48
  5. Step 5: Solve for x
    x = 244,437,799,330.48/567,029.28
  6. Step 6: Final answer
    x = 431,084.97

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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.