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Finding the Fourth Proportional to 399,252.78, 598,380.76 and 199,630.24

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Solution

The fourth proportional to 399,252.78, 598,380.76 and 199,630.24 is: 299,196.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,252.78 : 598,380.76 = 199,630.24 : x
  2. Step 2: Convert to fraction form
    399,252.78/598,380.76 = 199,630.24/x
  3. Step 3: Cross multiply
    399,252.78x = 598,380.76 × 199,630.24
  4. Step 4: Simplify right side
    399,252.78x = 119,454,894,730.18
  5. Step 5: Solve for x
    x = 119,454,894,730.18/399,252.78
  6. Step 6: Final answer
    x = 299,196.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.