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Finding the Fourth Proportional to 259,100.78, 387,773.33 and 159,324.17

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Solution

The fourth proportional to 259,100.78, 387,773.33 and 159,324.17 is: 238,446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,100.78 : 387,773.33 = 159,324.17 : x
  2. Step 2: Convert to fraction form
    259,100.78/387,773.33 = 159,324.17/x
  3. Step 3: Cross multiply
    259,100.78x = 387,773.33 × 159,324.17
  4. Step 4: Simplify right side
    259,100.78x = 61,781,661,214.90
  5. Step 5: Solve for x
    x = 61,781,661,214.90/259,100.78
  6. Step 6: Final answer
    x = 238,446.45

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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.