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Finding the Fourth Proportional to 378,604, 567,739.68 and 141,780.60

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Solution

The fourth proportional to 378,604, 567,739.68 and 141,780.60 is: 212,608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,604 : 567,739.68 = 141,780.60 : x
  2. Step 2: Convert to fraction form
    378,604/567,739.68 = 141,780.60/x
  3. Step 3: Cross multiply
    378,604x = 567,739.68 × 141,780.60
  4. Step 4: Simplify right side
    378,604x = 80,494,472,474.21
  5. Step 5: Solve for x
    x = 80,494,472,474.21/378,604
  6. Step 6: Final answer
    x = 212,608.62

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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.