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Finding the Fourth Proportional to 398,908.71, 550,494 and 229,142.79

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Solution

The fourth proportional to 398,908.71, 550,494 and 229,142.79 is: 316,217.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,908.71 : 550,494 = 229,142.79 : x
  2. Step 2: Convert to fraction form
    398,908.71/550,494 = 229,142.79/x
  3. Step 3: Cross multiply
    398,908.71x = 550,494 × 229,142.79
  4. Step 4: Simplify right side
    398,908.71x = 126,141,731,038.26
  5. Step 5: Solve for x
    x = 126,141,731,038.26/398,908.71
  6. Step 6: Final answer
    x = 316,217.04

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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.