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Finding the Fourth Proportional to 463,344, 639,410.40 and 262,140

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Solution

The fourth proportional to 463,344, 639,410.40 and 262,140 is: 361,750.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,344 : 639,410.40 = 262,140 : x
  2. Step 2: Convert to fraction form
    463,344/639,410.40 = 262,140/x
  3. Step 3: Cross multiply
    463,344x = 639,410.40 × 262,140
  4. Step 4: Simplify right side
    463,344x = 167,615,042,256
  5. Step 5: Solve for x
    x = 167,615,042,256/463,344
  6. Step 6: Final answer
    x = 361,750.76

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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.