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Finding the Fourth Proportional to 431,957.20, 647,935.80 and 207,279.40

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Solution

The fourth proportional to 431,957.20, 647,935.80 and 207,279.40 is: 310,919.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,957.20 : 647,935.80 = 207,279.40 : x
  2. Step 2: Convert to fraction form
    431,957.20/647,935.80 = 207,279.40/x
  3. Step 3: Cross multiply
    431,957.20x = 647,935.80 × 207,279.40
  4. Step 4: Simplify right side
    431,957.20x = 134,303,743,862.52
  5. Step 5: Solve for x
    x = 134,303,743,862.52/431,957.20
  6. Step 6: Final answer
    x = 310,919.10

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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.