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Finding the Fourth Proportional to 329,638.78, 454,087.22 and 281,082.59

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Solution

The fourth proportional to 329,638.78, 454,087.22 and 281,082.59 is: 387,199.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,638.78 : 454,087.22 = 281,082.59 : x
  2. Step 2: Convert to fraction form
    329,638.78/454,087.22 = 281,082.59/x
  3. Step 3: Cross multiply
    329,638.78x = 454,087.22 × 281,082.59
  4. Step 4: Simplify right side
    329,638.78x = 127,636,008,207.65
  5. Step 5: Solve for x
    x = 127,636,008,207.65/329,638.78
  6. Step 6: Final answer
    x = 387,199.62

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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.