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Finding the Fourth Proportional to 512,271.80, 768,626.40 and 245,895.20

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Solution

The fourth proportional to 512,271.80, 768,626.40 and 245,895.20 is: 368,947.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,271.80 : 768,626.40 = 245,895.20 : x
  2. Step 2: Convert to fraction form
    512,271.80/768,626.40 = 245,895.20/x
  3. Step 3: Cross multiply
    512,271.80x = 768,626.40 × 245,895.20
  4. Step 4: Simplify right side
    512,271.80x = 189,001,542,353.28
  5. Step 5: Solve for x
    x = 189,001,542,353.28/512,271.80
  6. Step 6: Final answer
    x = 368,947.78

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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.