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Finding the Fourth Proportional to 329,818.16, 494,686.92 and 140,354.66

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Solution

The fourth proportional to 329,818.16, 494,686.92 and 140,354.66 is: 210,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,818.16 : 494,686.92 = 140,354.66 : x
  2. Step 2: Convert to fraction form
    329,818.16/494,686.92 = 140,354.66/x
  3. Step 3: Cross multiply
    329,818.16x = 494,686.92 × 140,354.66
  4. Step 4: Simplify right side
    329,818.16x = 69,431,614,463.05
  5. Step 5: Solve for x
    x = 69,431,614,463.05/329,818.16
  6. Step 6: Final answer
    x = 210,514.83

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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.