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Finding the Fourth Proportional to 461,689.20, 637,022.88 and 280,396.08

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Solution

The fourth proportional to 461,689.20, 637,022.88 and 280,396.08 is: 386,880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,689.20 : 637,022.88 = 280,396.08 : x
  2. Step 2: Convert to fraction form
    461,689.20/637,022.88 = 280,396.08/x
  3. Step 3: Cross multiply
    461,689.20x = 637,022.88 × 280,396.08
  4. Step 4: Simplify right side
    461,689.20x = 178,618,718,422.31
  5. Step 5: Solve for x
    x = 178,618,718,422.31/461,689.20
  6. Step 6: Final answer
    x = 386,880.87

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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.