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Finding the Fourth Proportional to 463,405, 639,508.62 and 262,201

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Solution

The fourth proportional to 463,405, 639,508.62 and 262,201 is: 361,842.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,405 : 639,508.62 = 262,201 : x
  2. Step 2: Convert to fraction form
    463,405/639,508.62 = 262,201/x
  3. Step 3: Cross multiply
    463,405x = 639,508.62 × 262,201
  4. Step 4: Simplify right side
    463,405x = 167,679,799,672.62
  5. Step 5: Solve for x
    x = 167,679,799,672.62/463,405
  6. Step 6: Final answer
    x = 361,842.88

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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.