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Finding the Fourth Proportional to 299,697.51, 413,565.98 and 172,375.23

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Solution

The fourth proportional to 299,697.51, 413,565.98 and 172,375.23 is: 237,868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,697.51 : 413,565.98 = 172,375.23 : x
  2. Step 2: Convert to fraction form
    299,697.51/413,565.98 = 172,375.23/x
  3. Step 3: Cross multiply
    299,697.51x = 413,565.98 × 172,375.23
  4. Step 4: Simplify right side
    299,697.51x = 71,288,530,060.80
  5. Step 5: Solve for x
    x = 71,288,530,060.80/299,697.51
  6. Step 6: Final answer
    x = 237,868.28

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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.