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Finding the Fourth Proportional to 431,403.93, 647,103.15 and 131,883.35

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Solution

The fourth proportional to 431,403.93, 647,103.15 and 131,883.35 is: 197,824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,403.93 : 647,103.15 = 131,883.35 : x
  2. Step 2: Convert to fraction form
    431,403.93/647,103.15 = 131,883.35/x
  3. Step 3: Cross multiply
    431,403.93x = 647,103.15 × 131,883.35
  4. Step 4: Simplify right side
    431,403.93x = 85,342,127,982.04
  5. Step 5: Solve for x
    x = 85,342,127,982.04/431,403.93
  6. Step 6: Final answer
    x = 197,824.18

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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.