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Finding the Fourth Proportional to 431,098.53, 646,647.93 and 131,580.78

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Solution

The fourth proportional to 431,098.53, 646,647.93 and 131,580.78 is: 197,371.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,098.53 : 646,647.93 = 131,580.78 : x
  2. Step 2: Convert to fraction form
    431,098.53/646,647.93 = 131,580.78/x
  3. Step 3: Cross multiply
    431,098.53x = 646,647.93 × 131,580.78
  4. Step 4: Simplify right side
    431,098.53x = 85,086,439,014.79
  5. Step 5: Solve for x
    x = 85,086,439,014.79/431,098.53
  6. Step 6: Final answer
    x = 197,371.21

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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.