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Finding the Fourth Proportional to 407,044.52, 561,713.08 and 225,727.20

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Solution

The fourth proportional to 407,044.52, 561,713.08 and 225,727.20 is: 311,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,044.52 : 561,713.08 = 225,727.20 : x
  2. Step 2: Convert to fraction form
    407,044.52/561,713.08 = 225,727.20/x
  3. Step 3: Cross multiply
    407,044.52x = 561,713.08 × 225,727.20
  4. Step 4: Simplify right side
    407,044.52x = 126,793,920,751.78
  5. Step 5: Solve for x
    x = 126,793,920,751.78/407,044.52
  6. Step 6: Final answer
    x = 311,498.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.