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Finding the Fourth Proportional to 431,659.66, 647,379.04 and 127,982.81

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Solution

The fourth proportional to 431,659.66, 647,379.04 and 127,982.81 is: 191,941.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,659.66 : 647,379.04 = 127,982.81 : x
  2. Step 2: Convert to fraction form
    431,659.66/647,379.04 = 127,982.81/x
  3. Step 3: Cross multiply
    431,659.66x = 647,379.04 × 127,982.81
  4. Step 4: Simplify right side
    431,659.66x = 82,853,385,117.45
  5. Step 5: Solve for x
    x = 82,853,385,117.45/431,659.66
  6. Step 6: Final answer
    x = 191,941.46

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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.