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Finding the Fourth Proportional to 566,351.57, 781,565.15 and 311,702.75

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Solution

The fourth proportional to 566,351.57, 781,565.15 and 311,702.75 is: 430,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,351.57 : 781,565.15 = 311,702.75 : x
  2. Step 2: Convert to fraction form
    566,351.57/781,565.15 = 311,702.75/x
  3. Step 3: Cross multiply
    566,351.57x = 781,565.15 × 311,702.75
  4. Step 4: Simplify right side
    566,351.57x = 243,616,001,092.82
  5. Step 5: Solve for x
    x = 243,616,001,092.82/566,351.57
  6. Step 6: Final answer
    x = 430,149.78

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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.