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Finding the Fourth Proportional to 412,151.20, 618,255.60 and 162,800.80

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Solution

The fourth proportional to 412,151.20, 618,255.60 and 162,800.80 is: 244,212.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,151.20 : 618,255.60 = 162,800.80 : x
  2. Step 2: Convert to fraction form
    412,151.20/618,255.60 = 162,800.80/x
  3. Step 3: Cross multiply
    412,151.20x = 618,255.60 × 162,800.80
  4. Step 4: Simplify right side
    412,151.20x = 100,652,506,284.48
  5. Step 5: Solve for x
    x = 100,652,506,284.48/412,151.20
  6. Step 6: Final answer
    x = 244,212.58

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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.