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Finding the Fourth Proportional to 431,090.43, 646,635.56 and 131,572.53

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Solution

The fourth proportional to 431,090.43, 646,635.56 and 131,572.53 is: 197,358.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,090.43 : 646,635.56 = 131,572.53 : x
  2. Step 2: Convert to fraction form
    431,090.43/646,635.56 = 131,572.53/x
  3. Step 3: Cross multiply
    431,090.43x = 646,635.56 × 131,572.53
  4. Step 4: Simplify right side
    431,090.43x = 85,079,475,959.30
  5. Step 5: Solve for x
    x = 85,079,475,959.30/431,090.43
  6. Step 6: Final answer
    x = 197,358.77

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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.