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Finding the Fourth Proportional to 329,641.92, 494,129.40 and 129,884.64

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Solution

The fourth proportional to 329,641.92, 494,129.40 and 129,884.64 is: 194,695.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,641.92 : 494,129.40 = 129,884.64 : x
  2. Step 2: Convert to fraction form
    329,641.92/494,129.40 = 129,884.64/x
  3. Step 3: Cross multiply
    329,641.92x = 494,129.40 × 129,884.64
  4. Step 4: Simplify right side
    329,641.92x = 64,179,819,232.42
  5. Step 5: Solve for x
    x = 64,179,819,232.42/329,641.92
  6. Step 6: Final answer
    x = 194,695.56

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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.