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Finding the Fourth Proportional to 412,157.28, 618,324.46 and 127,841.88

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Solution

The fourth proportional to 412,157.28, 618,324.46 and 127,841.88 is: 191,790.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,157.28 : 618,324.46 = 127,841.88 : x
  2. Step 2: Convert to fraction form
    412,157.28/618,324.46 = 127,841.88/x
  3. Step 3: Cross multiply
    412,157.28x = 618,324.46 × 127,841.88
  4. Step 4: Simplify right side
    412,157.28x = 79,047,761,416.38
  5. Step 5: Solve for x
    x = 79,047,761,416.38/412,157.28
  6. Step 6: Final answer
    x = 191,790.28

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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.