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Finding the Fourth Proportional to 278,210.30, 417,358.88 and 88,713.14

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Solution

The fourth proportional to 278,210.30, 417,358.88 and 88,713.14 is: 133,083.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,210.30 : 417,358.88 = 88,713.14 : x
  2. Step 2: Convert to fraction form
    278,210.30/417,358.88 = 88,713.14/x
  3. Step 3: Cross multiply
    278,210.30x = 417,358.88 × 88,713.14
  4. Step 4: Simplify right side
    278,210.30x = 37,025,216,751.68
  5. Step 5: Solve for x
    x = 37,025,216,751.68/278,210.30
  6. Step 6: Final answer
    x = 133,083.56

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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.