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Finding the Fourth Proportional to 461,863.36, 637,136.64 and 280,527.04

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Solution

The fourth proportional to 461,863.36, 637,136.64 and 280,527.04 is: 386,984.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,863.36 : 637,136.64 = 280,527.04 : x
  2. Step 2: Convert to fraction form
    461,863.36/637,136.64 = 280,527.04/x
  3. Step 3: Cross multiply
    461,863.36x = 637,136.64 × 280,527.04
  4. Step 4: Simplify right side
    461,863.36x = 178,734,055,694.75
  5. Step 5: Solve for x
    x = 178,734,055,694.75/461,863.36
  6. Step 6: Final answer
    x = 386,984.70

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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.