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Finding the Fourth Proportional to 399,269.43, 598,405.71 and 199,646.91

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Solution

The fourth proportional to 399,269.43, 598,405.71 and 199,646.91 is: 299,221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,269.43 : 598,405.71 = 199,646.91 : x
  2. Step 2: Convert to fraction form
    399,269.43/598,405.71 = 199,646.91/x
  3. Step 3: Cross multiply
    399,269.43x = 598,405.71 × 199,646.91
  4. Step 4: Simplify right side
    399,269.43x = 119,469,850,927.86
  5. Step 5: Solve for x
    x = 119,469,850,927.86/399,269.43
  6. Step 6: Final answer
    x = 299,221.13

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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.