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Finding the Fourth Proportional to 331,488.80, 497,233.20 and 205,517.60

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Solution

The fourth proportional to 331,488.80, 497,233.20 and 205,517.60 is: 308,276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,488.80 : 497,233.20 = 205,517.60 : x
  2. Step 2: Convert to fraction form
    331,488.80/497,233.20 = 205,517.60/x
  3. Step 3: Cross multiply
    331,488.80x = 497,233.20 × 205,517.60
  4. Step 4: Simplify right side
    331,488.80x = 102,190,173,904.32
  5. Step 5: Solve for x
    x = 102,190,173,904.32/331,488.80
  6. Step 6: Final answer
    x = 308,276.40

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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.