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Finding the Fourth Proportional to 399,143.10, 550,571.48 and 284,458.88

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Solution

The fourth proportional to 399,143.10, 550,571.48 and 284,458.88 is: 392,377.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,143.10 : 550,571.48 = 284,458.88 : x
  2. Step 2: Convert to fraction form
    399,143.10/550,571.48 = 284,458.88/x
  3. Step 3: Cross multiply
    399,143.10x = 550,571.48 × 284,458.88
  4. Step 4: Simplify right side
    399,143.10x = 156,614,942,385.59
  5. Step 5: Solve for x
    x = 156,614,942,385.59/399,143.10
  6. Step 6: Final answer
    x = 392,377.93

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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.