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Finding the Fourth Proportional to 777,780.80, 1,166,930.40 and 378,670.40

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Solution

The fourth proportional to 777,780.80, 1,166,930.40 and 378,670.40 is: 568,131.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,780.80 : 1,166,930.40 = 378,670.40 : x
  2. Step 2: Convert to fraction form
    777,780.80/1,166,930.40 = 378,670.40/x
  3. Step 3: Cross multiply
    777,780.80x = 1,166,930.40 × 378,670.40
  4. Step 4: Simplify right side
    777,780.80x = 441,882,001,340.16
  5. Step 5: Solve for x
    x = 441,882,001,340.16/777,780.80
  6. Step 6: Final answer
    x = 568,131.79

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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.