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Finding the Fourth Proportional to 600,138.80, 826,862.28 and 395,829.20

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Solution

The fourth proportional to 600,138.80, 826,862.28 and 395,829.20 is: 545,367.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,138.80 : 826,862.28 = 395,829.20 : x
  2. Step 2: Convert to fraction form
    600,138.80/826,862.28 = 395,829.20/x
  3. Step 3: Cross multiply
    600,138.80x = 826,862.28 × 395,829.20
  4. Step 4: Simplify right side
    600,138.80x = 327,296,234,802.58
  5. Step 5: Solve for x
    x = 327,296,234,802.58/600,138.80
  6. Step 6: Final answer
    x = 545,367.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.