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Finding the Fourth Proportional to 259,751.20, 389,626.80 and 213,056.80

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Solution

The fourth proportional to 259,751.20, 389,626.80 and 213,056.80 is: 319,585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,751.20 : 389,626.80 = 213,056.80 : x
  2. Step 2: Convert to fraction form
    259,751.20/389,626.80 = 213,056.80/x
  3. Step 3: Cross multiply
    259,751.20x = 389,626.80 × 213,056.80
  4. Step 4: Simplify right side
    259,751.20x = 83,012,639,202.24
  5. Step 5: Solve for x
    x = 83,012,639,202.24/259,751.20
  6. Step 6: Final answer
    x = 319,585.20

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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.