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Finding the Fourth Proportional to 274,265.78, 378,334.45 and 159,531.50

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Solution

The fourth proportional to 274,265.78, 378,334.45 and 159,531.50 is: 220,064.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,265.78 : 378,334.45 = 159,531.50 : x
  2. Step 2: Convert to fraction form
    274,265.78/378,334.45 = 159,531.50/x
  3. Step 3: Cross multiply
    274,265.78x = 378,334.45 × 159,531.50
  4. Step 4: Simplify right side
    274,265.78x = 60,356,262,857.18
  5. Step 5: Solve for x
    x = 60,356,262,857.18/274,265.78
  6. Step 6: Final answer
    x = 220,064.87

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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.