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Finding the Fourth Proportional to 418,124.70, 576,982.80 and 231,854.49

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Solution

The fourth proportional to 418,124.70, 576,982.80 and 231,854.49 is: 319,942.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,124.70 : 576,982.80 = 231,854.49 : x
  2. Step 2: Convert to fraction form
    418,124.70/576,982.80 = 231,854.49/x
  3. Step 3: Cross multiply
    418,124.70x = 576,982.80 × 231,854.49
  4. Step 4: Simplify right side
    418,124.70x = 133,776,052,832.77
  5. Step 5: Solve for x
    x = 133,776,052,832.77/418,124.70
  6. Step 6: Final answer
    x = 319,942.96

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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.