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Finding the Fourth Proportional to 278,167.78, 417,422.98 and 109,659.43

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Solution

The fourth proportional to 278,167.78, 417,422.98 and 109,659.43 is: 164,556.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,167.78 : 417,422.98 = 109,659.43 : x
  2. Step 2: Convert to fraction form
    278,167.78/417,422.98 = 109,659.43/x
  3. Step 3: Cross multiply
    278,167.78x = 417,422.98 × 109,659.43
  4. Step 4: Simplify right side
    278,167.78x = 45,774,366,055.70
  5. Step 5: Solve for x
    x = 45,774,366,055.70/278,167.78
  6. Step 6: Final answer
    x = 164,556.68

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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.