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Finding the Fourth Proportional to 431,385.56, 647,079.94 and 131,864.98

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Solution

The fourth proportional to 431,385.56, 647,079.94 and 131,864.98 is: 197,797.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,385.56 : 647,079.94 = 131,864.98 : x
  2. Step 2: Convert to fraction form
    431,385.56/647,079.94 = 131,864.98/x
  3. Step 3: Cross multiply
    431,385.56x = 647,079.94 × 131,864.98
  4. Step 4: Simplify right side
    431,385.56x = 85,327,180,111.10
  5. Step 5: Solve for x
    x = 85,327,180,111.10/431,385.56
  6. Step 6: Final answer
    x = 197,797.95

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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.