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Finding the Fourth Proportional to 425,857.50, 638,894.25 and 159,618.78

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Solution

The fourth proportional to 425,857.50, 638,894.25 and 159,618.78 is: 239,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,857.50 : 638,894.25 = 159,618.78 : x
  2. Step 2: Convert to fraction form
    425,857.50/638,894.25 = 159,618.78/x
  3. Step 3: Cross multiply
    425,857.50x = 638,894.25 × 159,618.78
  4. Step 4: Simplify right side
    425,857.50x = 101,979,520,734.02
  5. Step 5: Solve for x
    x = 101,979,520,734.02/425,857.50
  6. Step 6: Final answer
    x = 239,468.65

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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.