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Finding the Fourth Proportional to 299,458.32, 413,321.80 and 172,207.32

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Solution

The fourth proportional to 299,458.32, 413,321.80 and 172,207.32 is: 237,685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,458.32 : 413,321.80 = 172,207.32 : x
  2. Step 2: Convert to fraction form
    299,458.32/413,321.80 = 172,207.32/x
  3. Step 3: Cross multiply
    299,458.32x = 413,321.80 × 172,207.32
  4. Step 4: Simplify right side
    299,458.32x = 71,177,039,475.58
  5. Step 5: Solve for x
    x = 71,177,039,475.58/299,458.32
  6. Step 6: Final answer
    x = 237,685.96

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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.