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Finding the Fourth Proportional to 331,335.90, 497,003.85 and 205,364.70

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Solution

The fourth proportional to 331,335.90, 497,003.85 and 205,364.70 is: 308,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,335.90 : 497,003.85 = 205,364.70 : x
  2. Step 2: Convert to fraction form
    331,335.90/497,003.85 = 205,364.70/x
  3. Step 3: Cross multiply
    331,335.90x = 497,003.85 × 205,364.70
  4. Step 4: Simplify right side
    331,335.90x = 102,067,046,554.10
  5. Step 5: Solve for x
    x = 102,067,046,554.10/331,335.90
  6. Step 6: Final answer
    x = 308,047.05

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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.