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Finding the Fourth Proportional to 415,009.65, 622,022.40 and 372,691.20

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Solution

The fourth proportional to 415,009.65, 622,022.40 and 372,691.20 is: 558,594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,009.65 : 622,022.40 = 372,691.20 : x
  2. Step 2: Convert to fraction form
    415,009.65/622,022.40 = 372,691.20/x
  3. Step 3: Cross multiply
    415,009.65x = 622,022.40 × 372,691.20
  4. Step 4: Simplify right side
    415,009.65x = 231,822,274,682.88
  5. Step 5: Solve for x
    x = 231,822,274,682.88/415,009.65
  6. Step 6: Final answer
    x = 558,594.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.