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Finding the Fourth Proportional to 417,934.80, 626,902.20 and 207,982.80

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Solution

The fourth proportional to 417,934.80, 626,902.20 and 207,982.80 is: 311,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,934.80 : 626,902.20 = 207,982.80 : x
  2. Step 2: Convert to fraction form
    417,934.80/626,902.20 = 207,982.80/x
  3. Step 3: Cross multiply
    417,934.80x = 626,902.20 × 207,982.80
  4. Step 4: Simplify right side
    417,934.80x = 130,384,874,882.16
  5. Step 5: Solve for x
    x = 130,384,874,882.16/417,934.80
  6. Step 6: Final answer
    x = 311,974.20

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1.5x scale

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.