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Finding the Fourth Proportional to 278,390.30, 417,447.03 and 88,825.82

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Solution

The fourth proportional to 278,390.30, 417,447.03 and 88,825.82 is: 133,194.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,390.30 : 417,447.03 = 88,825.82 : x
  2. Step 2: Convert to fraction form
    278,390.30/417,447.03 = 88,825.82/x
  3. Step 3: Cross multiply
    278,390.30x = 417,447.03 × 88,825.82
  4. Step 4: Simplify right side
    278,390.30x = 37,080,074,746.31
  5. Step 5: Solve for x
    x = 37,080,074,746.31/278,390.30
  6. Step 6: Final answer
    x = 133,194.56

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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.