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Finding the Fourth Proportional to 463,338, 639,402.12 and 262,134

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Solution

The fourth proportional to 463,338, 639,402.12 and 262,134 is: 361,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,338 : 639,402.12 = 262,134 : x
  2. Step 2: Convert to fraction form
    463,338/639,402.12 = 262,134/x
  3. Step 3: Cross multiply
    463,338x = 639,402.12 × 262,134
  4. Step 4: Simplify right side
    463,338x = 167,609,035,324.08
  5. Step 5: Solve for x
    x = 167,609,035,324.08/463,338
  6. Step 6: Final answer
    x = 361,742.48

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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.