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Finding the Fourth Proportional to 278,561.88, 417,985.34 and 132,666.96

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Solution

The fourth proportional to 278,561.88, 417,985.34 and 132,666.96 is: 199,068.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,561.88 : 417,985.34 = 132,666.96 : x
  2. Step 2: Convert to fraction form
    278,561.88/417,985.34 = 132,666.96/x
  3. Step 3: Cross multiply
    278,561.88x = 417,985.34 × 132,666.96
  4. Step 4: Simplify right side
    278,561.88x = 55,452,845,286.48
  5. Step 5: Solve for x
    x = 55,452,845,286.48/278,561.88
  6. Step 6: Final answer
    x = 199,068.32

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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.