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Finding the Fourth Proportional to 331,333.90, 497,000.85 and 213,138.70

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Solution

The fourth proportional to 331,333.90, 497,000.85 and 213,138.70 is: 319,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,333.90 : 497,000.85 = 213,138.70 : x
  2. Step 2: Convert to fraction form
    331,333.90/497,000.85 = 213,138.70/x
  3. Step 3: Cross multiply
    331,333.90x = 497,000.85 × 213,138.70
  4. Step 4: Simplify right side
    331,333.90x = 105,930,115,067.90
  5. Step 5: Solve for x
    x = 105,930,115,067.90/331,333.90
  6. Step 6: Final answer
    x = 319,708.05

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1.5x scale

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.