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Finding the Fourth Proportional to 427,561.20, 641,190.60 and 147,013.20

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Solution

The fourth proportional to 427,561.20, 641,190.60 and 147,013.20 is: 220,467.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,561.20 : 641,190.60 = 147,013.20 : x
  2. Step 2: Convert to fraction form
    427,561.20/641,190.60 = 147,013.20/x
  3. Step 3: Cross multiply
    427,561.20x = 641,190.60 × 147,013.20
  4. Step 4: Simplify right side
    427,561.20x = 94,263,481,915.92
  5. Step 5: Solve for x
    x = 94,263,481,915.92/427,561.20
  6. Step 6: Final answer
    x = 220,467.81

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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.