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Finding the Fourth Proportional to 418,021.70, 626,872.10 and 177,983.40

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Solution

The fourth proportional to 418,021.70, 626,872.10 and 177,983.40 is: 266,906.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,021.70 : 626,872.10 = 177,983.40 : x
  2. Step 2: Convert to fraction form
    418,021.70/626,872.10 = 177,983.40/x
  3. Step 3: Cross multiply
    418,021.70x = 626,872.10 × 177,983.40
  4. Step 4: Simplify right side
    418,021.70x = 111,572,829,183.99
  5. Step 5: Solve for x
    x = 111,572,829,183.99/418,021.70
  6. Step 6: Final answer
    x = 266,906.79

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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.