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Finding the Fourth Proportional to 417,708.78, 576,438.17 and 226,722.12

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Solution

The fourth proportional to 417,708.78, 576,438.17 and 226,722.12 is: 312,876.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,708.78 : 576,438.17 = 226,722.12 : x
  2. Step 2: Convert to fraction form
    417,708.78/576,438.17 = 226,722.12/x
  3. Step 3: Cross multiply
    417,708.78x = 576,438.17 × 226,722.12
  4. Step 4: Simplify right side
    417,708.78x = 130,691,282,817.71
  5. Step 5: Solve for x
    x = 130,691,282,817.71/417,708.78
  6. Step 6: Final answer
    x = 312,876.55

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1.5x scale

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.