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Finding the Fourth Proportional to 431,247.80, 646,871.70 and 135,721.40

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Solution

The fourth proportional to 431,247.80, 646,871.70 and 135,721.40 is: 203,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,247.80 : 646,871.70 = 135,721.40 : x
  2. Step 2: Convert to fraction form
    431,247.80/646,871.70 = 135,721.40/x
  3. Step 3: Cross multiply
    431,247.80x = 646,871.70 × 135,721.40
  4. Step 4: Simplify right side
    431,247.80x = 87,794,332,744.38
  5. Step 5: Solve for x
    x = 87,794,332,744.38/431,247.80
  6. Step 6: Final answer
    x = 203,582.10

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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.