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Finding the Fourth Proportional to 399,181.85, 598,781.28 and 143,031.15

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Solution

The fourth proportional to 399,181.85, 598,781.28 and 143,031.15 is: 214,549.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,181.85 : 598,781.28 = 143,031.15 : x
  2. Step 2: Convert to fraction form
    399,181.85/598,781.28 = 143,031.15/x
  3. Step 3: Cross multiply
    399,181.85x = 598,781.28 × 143,031.15
  4. Step 4: Simplify right side
    399,181.85x = 85,644,375,076.87
  5. Step 5: Solve for x
    x = 85,644,375,076.87/399,181.85
  6. Step 6: Final answer
    x = 214,549.77

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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.