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Finding the Fourth Proportional to 431,301.20, 647,146.20 and 206,574.80

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Solution

The fourth proportional to 431,301.20, 647,146.20 and 206,574.80 is: 309,955.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,301.20 : 647,146.20 = 206,574.80 : x
  2. Step 2: Convert to fraction form
    431,301.20/647,146.20 = 206,574.80/x
  3. Step 3: Cross multiply
    431,301.20x = 647,146.20 × 206,574.80
  4. Step 4: Simplify right side
    431,301.20x = 133,684,096,835.76
  5. Step 5: Solve for x
    x = 133,684,096,835.76/431,301.20
  6. Step 6: Final answer
    x = 309,955.31

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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.