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Finding the Fourth Proportional to 398,681.28, 550,176.17 and 217,392.75

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Solution

The fourth proportional to 398,681.28, 550,176.17 and 217,392.75 is: 299,999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,681.28 : 550,176.17 = 217,392.75 : x
  2. Step 2: Convert to fraction form
    398,681.28/550,176.17 = 217,392.75/x
  3. Step 3: Cross multiply
    398,681.28x = 550,176.17 × 217,392.75
  4. Step 4: Simplify right side
    398,681.28x = 119,604,309,493.80
  5. Step 5: Solve for x
    x = 119,604,309,493.80/398,681.28
  6. Step 6: Final answer
    x = 299,999.81

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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.