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Finding the Fourth Proportional to 399,267.42, 598,402.72 and 199,644.90

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Solution

The fourth proportional to 399,267.42, 598,402.72 and 199,644.90 is: 299,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,267.42 : 598,402.72 = 199,644.90 : x
  2. Step 2: Convert to fraction form
    399,267.42/598,402.72 = 199,644.90/x
  3. Step 3: Cross multiply
    399,267.42x = 598,402.72 × 199,644.90
  4. Step 4: Simplify right side
    399,267.42x = 119,468,051,194.13
  5. Step 5: Solve for x
    x = 119,468,051,194.13/399,267.42
  6. Step 6: Final answer
    x = 299,218.13

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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.