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Finding the Fourth Proportional to 431,024.67, 646,684.71 and 164,861.31

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Solution

The fourth proportional to 431,024.67, 646,684.71 and 164,861.31 is: 247,348.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,024.67 : 646,684.71 = 164,861.31 : x
  2. Step 2: Convert to fraction form
    431,024.67/646,684.71 = 164,861.31/x
  3. Step 3: Cross multiply
    431,024.67x = 646,684.71 × 164,861.31
  4. Step 4: Simplify right side
    431,024.67x = 106,613,288,447.57
  5. Step 5: Solve for x
    x = 106,613,288,447.57/431,024.67
  6. Step 6: Final answer
    x = 247,348.46

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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.