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Finding the Fourth Proportional to 431,042.20, 646,563.30 and 164,811.40

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Solution

The fourth proportional to 431,042.20, 646,563.30 and 164,811.40 is: 247,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,042.20 : 646,563.30 = 164,811.40 : x
  2. Step 2: Convert to fraction form
    431,042.20/646,563.30 = 164,811.40/x
  3. Step 3: Cross multiply
    431,042.20x = 646,563.30 × 164,811.40
  4. Step 4: Simplify right side
    431,042.20x = 106,561,002,661.62
  5. Step 5: Solve for x
    x = 106,561,002,661.62/431,042.20
  6. Step 6: Final answer
    x = 247,217.10

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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.