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Finding the Fourth Proportional to 463,396.16, 639,651.36 and 282,025.28

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Solution

The fourth proportional to 463,396.16, 639,651.36 and 282,025.28 is: 389,295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,396.16 : 639,651.36 = 282,025.28 : x
  2. Step 2: Convert to fraction form
    463,396.16/639,651.36 = 282,025.28/x
  3. Step 3: Cross multiply
    463,396.16x = 639,651.36 × 282,025.28
  4. Step 4: Simplify right side
    463,396.16x = 180,397,853,906.38
  5. Step 5: Solve for x
    x = 180,397,853,906.38/463,396.16
  6. Step 6: Final answer
    x = 389,295.10

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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.