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Finding the Fourth Proportional to 418,072.56, 576,937.62 and 227,084.28

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Solution

The fourth proportional to 418,072.56, 576,937.62 and 227,084.28 is: 313,374.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,072.56 : 576,937.62 = 227,084.28 : x
  2. Step 2: Convert to fraction form
    418,072.56/576,937.62 = 227,084.28/x
  3. Step 3: Cross multiply
    418,072.56x = 576,937.62 × 227,084.28
  4. Step 4: Simplify right side
    418,072.56x = 131,013,464,042.61
  5. Step 5: Solve for x
    x = 131,013,464,042.61/418,072.56
  6. Step 6: Final answer
    x = 313,374.94

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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.