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Finding the Fourth Proportional to 418,654.26, 577,872.42 and 311,369.61

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Solution

The fourth proportional to 418,654.26, 577,872.42 and 311,369.61 is: 429,786.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,654.26 : 577,872.42 = 311,369.61 : x
  2. Step 2: Convert to fraction form
    418,654.26/577,872.42 = 311,369.61/x
  3. Step 3: Cross multiply
    418,654.26x = 577,872.42 × 311,369.61
  4. Step 4: Simplify right side
    418,654.26x = 179,931,910,045.16
  5. Step 5: Solve for x
    x = 179,931,910,045.16/418,654.26
  6. Step 6: Final answer
    x = 429,786.41

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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.