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Finding the Fourth Proportional to 280,295,412.80, 420,368,469.60 and 86,206,452.80

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Solution

The fourth proportional to 280,295,412.80, 420,368,469.60 and 86,206,452.80 is: 129,286,720.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,295,412.80 : 420,368,469.60 = 86,206,452.80 : x
  2. Step 2: Convert to fraction form
    280,295,412.80/420,368,469.60 = 86,206,452.80/x
  3. Step 3: Cross multiply
    280,295,412.80x = 420,368,469.60 × 86,206,452.80
  4. Step 4: Simplify right side
    280,295,412.80x = 36,238,474,633,180,632
  5. Step 5: Solve for x
    x = 36,238,474,633,180,632/280,295,412.80
  6. Step 6: Final answer
    x = 129,286,720.29

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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.