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Finding the Fourth Proportional to 398,829.68, 550,385.24 and 229,074.80

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Solution

The fourth proportional to 398,829.68, 550,385.24 and 229,074.80 is: 316,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,829.68 : 550,385.24 = 229,074.80 : x
  2. Step 2: Convert to fraction form
    398,829.68/550,385.24 = 229,074.80/x
  3. Step 3: Cross multiply
    398,829.68x = 550,385.24 × 229,074.80
  4. Step 4: Simplify right side
    398,829.68x = 126,079,388,775.95
  5. Step 5: Solve for x
    x = 126,079,388,775.95/398,829.68
  6. Step 6: Final answer
    x = 316,123.39

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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.