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Finding the Fourth Proportional to 296,584.80, 444,665.84 and 138,727.20

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Solution

The fourth proportional to 296,584.80, 444,665.84 and 138,727.20 is: 207,991.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,584.80 : 444,665.84 = 138,727.20 : x
  2. Step 2: Convert to fraction form
    296,584.80/444,665.84 = 138,727.20/x
  3. Step 3: Cross multiply
    296,584.80x = 444,665.84 × 138,727.20
  4. Step 4: Simplify right side
    296,584.80x = 61,687,246,918.85
  5. Step 5: Solve for x
    x = 61,687,246,918.85/296,584.80
  6. Step 6: Final answer
    x = 207,991.94

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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.