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Finding the Fourth Proportional to 431,244.80, 646,780.80 and 206,604.80

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Solution

The fourth proportional to 431,244.80, 646,780.80 and 206,604.80 is: 309,865.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,244.80 : 646,780.80 = 206,604.80 : x
  2. Step 2: Convert to fraction form
    431,244.80/646,780.80 = 206,604.80/x
  3. Step 3: Cross multiply
    431,244.80x = 646,780.80 × 206,604.80
  4. Step 4: Simplify right side
    431,244.80x = 133,628,017,827.84
  5. Step 5: Solve for x
    x = 133,628,017,827.84/431,244.80
  6. Step 6: Final answer
    x = 309,865.81

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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.