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Finding the Fourth Proportional to 269,568,331.20, 404,352,496.80 and 258,986,750.40

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Solution

The fourth proportional to 269,568,331.20, 404,352,496.80 and 258,986,750.40 is: 388,480,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,568,331.20 : 404,352,496.80 = 258,986,750.40 : x
  2. Step 2: Convert to fraction form
    269,568,331.20/404,352,496.80 = 258,986,750.40/x
  3. Step 3: Cross multiply
    269,568,331.20x = 404,352,496.80 × 258,986,750.40
  4. Step 4: Simplify right side
    269,568,331.20x = 104,721,939,162,358,400
  5. Step 5: Solve for x
    x = 104,721,939,162,358,400/269,568,331.20
  6. Step 6: Final answer
    x = 388,480,125.60

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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.