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Finding the Fourth Proportional to 278,367.82, 417,347.25 and 88,719.06

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Solution

The fourth proportional to 278,367.82, 417,347.25 and 88,719.06 is: 133,013.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,367.82 : 417,347.25 = 88,719.06 : x
  2. Step 2: Convert to fraction form
    278,367.82/417,347.25 = 88,719.06/x
  3. Step 3: Cross multiply
    278,367.82x = 417,347.25 × 88,719.06
  4. Step 4: Simplify right side
    278,367.82x = 37,026,655,713.59
  5. Step 5: Solve for x
    x = 37,026,655,713.59/278,367.82
  6. Step 6: Final answer
    x = 133,013.42

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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.