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Finding the Fourth Proportional to 463,500, 639,630.08 and 251,532

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Solution

The fourth proportional to 463,500, 639,630.08 and 251,532 is: 347,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,500 : 639,630.08 = 251,532 : x
  2. Step 2: Convert to fraction form
    463,500/639,630.08 = 251,532/x
  3. Step 3: Cross multiply
    463,500x = 639,630.08 × 251,532
  4. Step 4: Simplify right side
    463,500x = 160,887,433,282.56
  5. Step 5: Solve for x
    x = 160,887,433,282.56/463,500
  6. Step 6: Final answer
    x = 347,114.20

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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.