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Finding the Fourth Proportional to 319,514.64, 440,914.80 and 174,311.78

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Solution

The fourth proportional to 319,514.64, 440,914.80 and 174,311.78 is: 240,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,514.64 : 440,914.80 = 174,311.78 : x
  2. Step 2: Convert to fraction form
    319,514.64/440,914.80 = 174,311.78/x
  3. Step 3: Cross multiply
    319,514.64x = 440,914.80 × 174,311.78
  4. Step 4: Simplify right side
    319,514.64x = 76,856,642,065.44
  5. Step 5: Solve for x
    x = 76,856,642,065.44/319,514.64
  6. Step 6: Final answer
    x = 240,541.85

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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.