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Finding the Fourth Proportional to 431,229.98, 646,969.77 and 178,463.81

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Solution

The fourth proportional to 431,229.98, 646,969.77 and 178,463.81 is: 267,747.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,229.98 : 646,969.77 = 178,463.81 : x
  2. Step 2: Convert to fraction form
    431,229.98/646,969.77 = 178,463.81/x
  3. Step 3: Cross multiply
    431,229.98x = 646,969.77 × 178,463.81
  4. Step 4: Simplify right side
    431,229.98x = 115,460,690,109.02
  5. Step 5: Solve for x
    x = 115,460,690,109.02/431,229.98
  6. Step 6: Final answer
    x = 267,747.36

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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.