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Finding the Fourth Proportional to 331,471.20, 497,595.60 and 329,138.40

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Solution

The fourth proportional to 331,471.20, 497,595.60 and 329,138.40 is: 494,093.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,471.20 : 497,595.60 = 329,138.40 : x
  2. Step 2: Convert to fraction form
    331,471.20/497,595.60 = 329,138.40/x
  3. Step 3: Cross multiply
    331,471.20x = 497,595.60 × 329,138.40
  4. Step 4: Simplify right side
    331,471.20x = 163,777,819,631.04
  5. Step 5: Solve for x
    x = 163,777,819,631.04/331,471.20
  6. Step 6: Final answer
    x = 494,093.66

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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.