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Finding the Fourth Proportional to 425,894.27, 638,964.52 and 137,699.78

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Solution

The fourth proportional to 425,894.27, 638,964.52 and 137,699.78 is: 206,589.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,894.27 : 638,964.52 = 137,699.78 : x
  2. Step 2: Convert to fraction form
    425,894.27/638,964.52 = 137,699.78/x
  3. Step 3: Cross multiply
    425,894.27x = 638,964.52 × 137,699.78
  4. Step 4: Simplify right side
    425,894.27x = 87,985,270,292.73
  5. Step 5: Solve for x
    x = 87,985,270,292.73/425,894.27
  6. Step 6: Final answer
    x = 206,589.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.