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Finding the Fourth Proportional to 259,259.40, 389,180.70 and 200,356.20

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Solution

The fourth proportional to 259,259.40, 389,180.70 and 200,356.20 is: 300,759.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,259.40 : 389,180.70 = 200,356.20 : x
  2. Step 2: Convert to fraction form
    259,259.40/389,180.70 = 200,356.20/x
  3. Step 3: Cross multiply
    259,259.40x = 389,180.70 × 200,356.20
  4. Step 4: Simplify right side
    259,259.40x = 77,974,766,165.34
  5. Step 5: Solve for x
    x = 77,974,766,165.34/259,259.40
  6. Step 6: Final answer
    x = 300,759.65

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1.5x scale

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.