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Finding the Fourth Proportional to 383,769.40, 575,654.10 and 361,996.60

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Solution

The fourth proportional to 383,769.40, 575,654.10 and 361,996.60 is: 542,994.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,769.40 : 575,654.10 = 361,996.60 : x
  2. Step 2: Convert to fraction form
    383,769.40/575,654.10 = 361,996.60/x
  3. Step 3: Cross multiply
    383,769.40x = 575,654.10 × 361,996.60
  4. Step 4: Simplify right side
    383,769.40x = 208,384,826,976.06
  5. Step 5: Solve for x
    x = 208,384,826,976.06/383,769.40
  6. Step 6: Final answer
    x = 542,994.90

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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.