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Finding the Fourth Proportional to 329,673.42, 494,713.17 and 129,959.82

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Solution

The fourth proportional to 329,673.42, 494,713.17 and 129,959.82 is: 195,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,673.42 : 494,713.17 = 129,959.82 : x
  2. Step 2: Convert to fraction form
    329,673.42/494,713.17 = 129,959.82/x
  3. Step 3: Cross multiply
    329,673.42x = 494,713.17 × 129,959.82
  4. Step 4: Simplify right side
    329,673.42x = 64,292,834,524.83
  5. Step 5: Solve for x
    x = 64,292,834,524.83/329,673.42
  6. Step 6: Final answer
    x = 195,019.77

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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.