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Finding the Fourth Proportional to 259,718.40, 389,869.20 and 200,815.20

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Solution

The fourth proportional to 259,718.40, 389,869.20 and 200,815.20 is: 301,448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,718.40 : 389,869.20 = 200,815.20 : x
  2. Step 2: Convert to fraction form
    259,718.40/389,869.20 = 200,815.20/x
  3. Step 3: Cross multiply
    259,718.40x = 389,869.20 × 200,815.20
  4. Step 4: Simplify right side
    259,718.40x = 78,291,661,371.84
  5. Step 5: Solve for x
    x = 78,291,661,371.84/259,718.40
  6. Step 6: Final answer
    x = 301,448.27

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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.