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Finding the Fourth Proportional to 331,811.68, 497,719.30 and 82,493.68

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Solution

The fourth proportional to 331,811.68, 497,719.30 and 82,493.68 is: 123,740.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,811.68 : 497,719.30 = 82,493.68 : x
  2. Step 2: Convert to fraction form
    331,811.68/497,719.30 = 82,493.68/x
  3. Step 3: Cross multiply
    331,811.68x = 497,719.30 × 82,493.68
  4. Step 4: Simplify right side
    331,811.68x = 41,058,696,664.02
  5. Step 5: Solve for x
    x = 41,058,696,664.02/331,811.68
  6. Step 6: Final answer
    x = 123,740.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.