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Finding the Fourth Proportional to 567,157.16, 782,711.84 and 312,508.28

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Solution

The fourth proportional to 567,157.16, 782,711.84 and 312,508.28 is: 431,280.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,157.16 : 782,711.84 = 312,508.28 : x
  2. Step 2: Convert to fraction form
    567,157.16/782,711.84 = 312,508.28/x
  3. Step 3: Cross multiply
    567,157.16x = 782,711.84 × 312,508.28
  4. Step 4: Simplify right side
    567,157.16x = 244,603,930,854.04
  5. Step 5: Solve for x
    x = 244,603,930,854.04/567,157.16
  6. Step 6: Final answer
    x = 431,280.69

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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.