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Finding the Fourth Proportional to 443,058.30, 664,587.45 and 408,843.90

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Solution

The fourth proportional to 443,058.30, 664,587.45 and 408,843.90 is: 613,265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,058.30 : 664,587.45 = 408,843.90 : x
  2. Step 2: Convert to fraction form
    443,058.30/664,587.45 = 408,843.90/x
  3. Step 3: Cross multiply
    443,058.30x = 664,587.45 × 408,843.90
  4. Step 4: Simplify right side
    443,058.30x = 271,712,524,949.06
  5. Step 5: Solve for x
    x = 271,712,524,949.06/443,058.30
  6. Step 6: Final answer
    x = 613,265.85

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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.