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Finding the Fourth Proportional to 278,820.25, 418,239.47 and 132,728.46

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Solution

The fourth proportional to 278,820.25, 418,239.47 and 132,728.46 is: 199,097.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,820.25 : 418,239.47 = 132,728.46 : x
  2. Step 2: Convert to fraction form
    278,820.25/418,239.47 = 132,728.46/x
  3. Step 3: Cross multiply
    278,820.25x = 418,239.47 × 132,728.46
  4. Step 4: Simplify right side
    278,820.25x = 55,512,281,809.91
  5. Step 5: Solve for x
    x = 55,512,281,809.91/278,820.25
  6. Step 6: Final answer
    x = 199,097.02

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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.