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Finding the Fourth Proportional to 353,668.32, 488,306.70 and 331,082.10

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Solution

The fourth proportional to 353,668.32, 488,306.70 and 331,082.10 is: 457,122.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,668.32 : 488,306.70 = 331,082.10 : x
  2. Step 2: Convert to fraction form
    353,668.32/488,306.70 = 331,082.10/x
  3. Step 3: Cross multiply
    353,668.32x = 488,306.70 × 331,082.10
  4. Step 4: Simplify right side
    353,668.32x = 161,669,607,680.07
  5. Step 5: Solve for x
    x = 161,669,607,680.07/353,668.32
  6. Step 6: Final answer
    x = 457,122.11

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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.