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Finding the Fourth Proportional to 329,754, 494,298.66 and 129,997.08

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Solution

The fourth proportional to 329,754, 494,298.66 and 129,997.08 is: 194,864.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,754 : 494,298.66 = 129,997.08 : x
  2. Step 2: Convert to fraction form
    329,754/494,298.66 = 129,997.08/x
  3. Step 3: Cross multiply
    329,754x = 494,298.66 × 129,997.08
  4. Step 4: Simplify right side
    329,754x = 64,257,382,447.91
  5. Step 5: Solve for x
    x = 64,257,382,447.91/329,754
  6. Step 6: Final answer
    x = 194,864.60

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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.