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Finding the Fourth Proportional to 316,234.80, 436,390.20 and 172,997.64

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Solution

The fourth proportional to 316,234.80, 436,390.20 and 172,997.64 is: 238,729.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,234.80 : 436,390.20 = 172,997.64 : x
  2. Step 2: Convert to fraction form
    316,234.80/436,390.20 = 172,997.64/x
  3. Step 3: Cross multiply
    316,234.80x = 436,390.20 × 172,997.64
  4. Step 4: Simplify right side
    316,234.80x = 75,494,474,719.13
  5. Step 5: Solve for x
    x = 75,494,474,719.13/316,234.80
  6. Step 6: Final answer
    x = 238,729.18

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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.