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Finding the Fourth Proportional to 278,002.60, 416,845.88 and 109,431.54

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Solution

The fourth proportional to 278,002.60, 416,845.88 and 109,431.54 is: 164,085.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,002.60 : 416,845.88 = 109,431.54 : x
  2. Step 2: Convert to fraction form
    278,002.60/416,845.88 = 109,431.54/x
  3. Step 3: Cross multiply
    278,002.60x = 416,845.88 × 109,431.54
  4. Step 4: Simplify right side
    278,002.60x = 45,616,086,591.06
  5. Step 5: Solve for x
    x = 45,616,086,591.06/278,002.60
  6. Step 6: Final answer
    x = 164,085.11

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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.