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Finding the Fourth Proportional to 468,049.80, 645,780.42 and 298,144.20

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Solution

The fourth proportional to 468,049.80, 645,780.42 and 298,144.20 is: 411,357.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,049.80 : 645,780.42 = 298,144.20 : x
  2. Step 2: Convert to fraction form
    468,049.80/645,780.42 = 298,144.20/x
  3. Step 3: Cross multiply
    468,049.80x = 645,780.42 × 298,144.20
  4. Step 4: Simplify right side
    468,049.80x = 192,535,686,696.56
  5. Step 5: Solve for x
    x = 192,535,686,696.56/468,049.80
  6. Step 6: Final answer
    x = 411,357.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.