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Finding the Fourth Proportional to 285,278.68, 393,698.10 and 172,099

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Solution

The fourth proportional to 285,278.68, 393,698.10 and 172,099 is: 237,504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,278.68 : 393,698.10 = 172,099 : x
  2. Step 2: Convert to fraction form
    285,278.68/393,698.10 = 172,099/x
  3. Step 3: Cross multiply
    285,278.68x = 393,698.10 × 172,099
  4. Step 4: Simplify right side
    285,278.68x = 67,755,049,311.90
  5. Step 5: Solve for x
    x = 67,755,049,311.90/285,278.68
  6. Step 6: Final answer
    x = 237,504.78

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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.