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Finding the Fourth Proportional to 398,850.72, 550,414.50 and 229,117.68

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Solution

The fourth proportional to 398,850.72, 550,414.50 and 229,117.68 is: 316,182.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,850.72 : 550,414.50 = 229,117.68 : x
  2. Step 2: Convert to fraction form
    398,850.72/550,414.50 = 229,117.68/x
  3. Step 3: Cross multiply
    398,850.72x = 550,414.50 × 229,117.68
  4. Step 4: Simplify right side
    398,850.72x = 126,109,693,278.36
  5. Step 5: Solve for x
    x = 126,109,693,278.36/398,850.72
  6. Step 6: Final answer
    x = 316,182.69

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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.