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Finding the Fourth Proportional to 394,590.80, 591,929.40 and 382,149.20

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Solution

The fourth proportional to 394,590.80, 591,929.40 and 382,149.20 is: 573,265.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,590.80 : 591,929.40 = 382,149.20 : x
  2. Step 2: Convert to fraction form
    394,590.80/591,929.40 = 382,149.20/x
  3. Step 3: Cross multiply
    394,590.80x = 591,929.40 × 382,149.20
  4. Step 4: Simplify right side
    394,590.80x = 226,205,346,666.48
  5. Step 5: Solve for x
    x = 226,205,346,666.48/394,590.80
  6. Step 6: Final answer
    x = 573,265.64

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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.