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Finding the Fourth Proportional to 299,697.76, 413,566.32 and 172,375.48

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Solution

The fourth proportional to 299,697.76, 413,566.32 and 172,375.48 is: 237,868.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,697.76 : 413,566.32 = 172,375.48 : x
  2. Step 2: Convert to fraction form
    299,697.76/413,566.32 = 172,375.48/x
  3. Step 3: Cross multiply
    299,697.76x = 413,566.32 × 172,375.48
  4. Step 4: Simplify right side
    299,697.76x = 71,288,692,921.83
  5. Step 5: Solve for x
    x = 71,288,692,921.83/299,697.76
  6. Step 6: Final answer
    x = 237,868.62

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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.