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Finding the Fourth Proportional to 331,498.30, 497,247.45 and 298,320.70

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Solution

The fourth proportional to 331,498.30, 497,247.45 and 298,320.70 is: 447,481.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,498.30 : 497,247.45 = 298,320.70 : x
  2. Step 2: Convert to fraction form
    331,498.30/497,247.45 = 298,320.70/x
  3. Step 3: Cross multiply
    331,498.30x = 497,247.45 × 298,320.70
  4. Step 4: Simplify right side
    331,498.30x = 148,339,207,357.22
  5. Step 5: Solve for x
    x = 148,339,207,357.22/331,498.30
  6. Step 6: Final answer
    x = 447,481.05

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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.