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Finding the Fourth Proportional to 298,080.52, 447,165.24 and 98,422

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Solution

The fourth proportional to 298,080.52, 447,165.24 and 98,422 is: 147,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,080.52 : 447,165.24 = 98,422 : x
  2. Step 2: Convert to fraction form
    298,080.52/447,165.24 = 98,422/x
  3. Step 3: Cross multiply
    298,080.52x = 447,165.24 × 98,422
  4. Step 4: Simplify right side
    298,080.52x = 44,010,897,251.28
  5. Step 5: Solve for x
    x = 44,010,897,251.28/298,080.52
  6. Step 6: Final answer
    x = 147,647.68

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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.