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Finding the Fourth Proportional to 417,696, 576,455.04 and 238,882.56

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Solution

The fourth proportional to 417,696, 576,455.04 and 238,882.56 is: 329,677.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,696 : 576,455.04 = 238,882.56 : x
  2. Step 2: Convert to fraction form
    417,696/576,455.04 = 238,882.56/x
  3. Step 3: Cross multiply
    417,696x = 576,455.04 × 238,882.56
  4. Step 4: Simplify right side
    417,696x = 137,705,055,680.10
  5. Step 5: Solve for x
    x = 137,705,055,680.10/417,696
  6. Step 6: Final answer
    x = 329,677.70

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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.