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Finding the Fourth Proportional to 345,891.32, 477,330.03 and 194,988.32

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Solution

The fourth proportional to 345,891.32, 477,330.03 and 194,988.32 is: 269,083.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,891.32 : 477,330.03 = 194,988.32 : x
  2. Step 2: Convert to fraction form
    345,891.32/477,330.03 = 194,988.32/x
  3. Step 3: Cross multiply
    345,891.32x = 477,330.03 × 194,988.32
  4. Step 4: Simplify right side
    345,891.32x = 93,073,777,273.66
  5. Step 5: Solve for x
    x = 93,073,777,273.66/345,891.32
  6. Step 6: Final answer
    x = 269,083.88

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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.