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Finding the Fourth Proportional to 463,468.88, 639,640.80 and 282,287.12

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Solution

The fourth proportional to 463,468.88, 639,640.80 and 282,287.12 is: 389,588.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,468.88 : 639,640.80 = 282,287.12 : x
  2. Step 2: Convert to fraction form
    463,468.88/639,640.80 = 282,287.12/x
  3. Step 3: Cross multiply
    463,468.88x = 639,640.80 × 282,287.12
  4. Step 4: Simplify right side
    463,468.88x = 180,562,359,266.50
  5. Step 5: Solve for x
    x = 180,562,359,266.50/463,468.88
  6. Step 6: Final answer
    x = 389,588.96

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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.