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Finding the Fourth Proportional to 431,142.40, 646,810.80 and 131,636.80

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Solution

The fourth proportional to 431,142.40, 646,810.80 and 131,636.80 is: 197,484.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,142.40 : 646,810.80 = 131,636.80 : x
  2. Step 2: Convert to fraction form
    431,142.40/646,810.80 = 131,636.80/x
  3. Step 3: Cross multiply
    431,142.40x = 646,810.80 × 131,636.80
  4. Step 4: Simplify right side
    431,142.40x = 85,144,103,917.44
  5. Step 5: Solve for x
    x = 85,144,103,917.44/431,142.40
  6. Step 6: Final answer
    x = 197,484.88

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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.