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Finding the Fourth Proportional to 557,789.70, 769,755.76 and 303,141

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Solution

The fourth proportional to 557,789.70, 769,755.76 and 303,141 is: 418,337.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,789.70 : 769,755.76 = 303,141 : x
  2. Step 2: Convert to fraction form
    557,789.70/769,755.76 = 303,141/x
  3. Step 3: Cross multiply
    557,789.70x = 769,755.76 × 303,141
  4. Step 4: Simplify right side
    557,789.70x = 233,344,530,842.16
  5. Step 5: Solve for x
    x = 233,344,530,842.16/557,789.70
  6. Step 6: Final answer
    x = 418,337.83

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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.