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Finding the Fourth Proportional to 331,811.60, 497,717.40 and 82,493.60

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Solution

The fourth proportional to 331,811.60, 497,717.40 and 82,493.60 is: 123,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,811.60 : 497,717.40 = 82,493.60 : x
  2. Step 2: Convert to fraction form
    331,811.60/497,717.40 = 82,493.60/x
  3. Step 3: Cross multiply
    331,811.60x = 497,717.40 × 82,493.60
  4. Step 4: Simplify right side
    331,811.60x = 41,058,500,108.64
  5. Step 5: Solve for x
    x = 41,058,500,108.64/331,811.60
  6. Step 6: Final answer
    x = 123,740.40

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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.