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Finding the Fourth Proportional to 463,459.12, 639,463.31 and 282,168.97

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Solution

The fourth proportional to 463,459.12, 639,463.31 and 282,168.97 is: 389,326.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,459.12 : 639,463.31 = 282,168.97 : x
  2. Step 2: Convert to fraction form
    463,459.12/639,463.31 = 282,168.97/x
  3. Step 3: Cross multiply
    463,459.12x = 639,463.31 × 282,168.97
  4. Step 4: Simplify right side
    463,459.12x = 180,436,701,584.12
  5. Step 5: Solve for x
    x = 180,436,701,584.12/463,459.12
  6. Step 6: Final answer
    x = 389,326.04

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1.5x scale

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.