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Finding the Fourth Proportional to 329,740.56, 494,278.38 and 129,983.58

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Solution

The fourth proportional to 329,740.56, 494,278.38 and 129,983.58 is: 194,844.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,740.56 : 494,278.38 = 129,983.58 : x
  2. Step 2: Convert to fraction form
    329,740.56/494,278.38 = 129,983.58/x
  3. Step 3: Cross multiply
    329,740.56x = 494,278.38 × 129,983.58
  4. Step 4: Simplify right side
    329,740.56x = 64,248,073,349.00
  5. Step 5: Solve for x
    x = 64,248,073,349.00/329,740.56
  6. Step 6: Final answer
    x = 194,844.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.