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Finding the Fourth Proportional to 663,082.40, 994,753.20 and 284,002.40

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Solution

The fourth proportional to 663,082.40, 994,753.20 and 284,002.40 is: 426,059.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,082.40 : 994,753.20 = 284,002.40 : x
  2. Step 2: Convert to fraction form
    663,082.40/994,753.20 = 284,002.40/x
  3. Step 3: Cross multiply
    663,082.40x = 994,753.20 × 284,002.40
  4. Step 4: Simplify right side
    663,082.40x = 282,512,296,207.68
  5. Step 5: Solve for x
    x = 282,512,296,207.68/663,082.40
  6. Step 6: Final answer
    x = 426,059.11

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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.