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Finding the Fourth Proportional to 278,224.32, 417,366.54 and 88,639.98

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Solution

The fourth proportional to 278,224.32, 417,366.54 and 88,639.98 is: 132,969.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,224.32 : 417,366.54 = 88,639.98 : x
  2. Step 2: Convert to fraction form
    278,224.32/417,366.54 = 88,639.98/x
  3. Step 3: Cross multiply
    278,224.32x = 417,366.54 × 88,639.98
  4. Step 4: Simplify right side
    278,224.32x = 36,995,361,758.27
  5. Step 5: Solve for x
    x = 36,995,361,758.27/278,224.32
  6. Step 6: Final answer
    x = 132,969.55

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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.