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Finding the Fourth Proportional to 417,705.44, 576,432 and 226,718.80

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Solution

The fourth proportional to 417,705.44, 576,432 and 226,718.80 is: 312,871.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,705.44 : 576,432 = 226,718.80 : x
  2. Step 2: Convert to fraction form
    417,705.44/576,432 = 226,718.80/x
  3. Step 3: Cross multiply
    417,705.44x = 576,432 × 226,718.80
  4. Step 4: Simplify right side
    417,705.44x = 130,687,971,321.60
  5. Step 5: Solve for x
    x = 130,687,971,321.60/417,705.44
  6. Step 6: Final answer
    x = 312,871.13

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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.