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Finding the Fourth Proportional to 259,366.96, 389,050.40 and 200,288.80

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Solution

The fourth proportional to 259,366.96, 389,050.40 and 200,288.80 is: 300,433.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,366.96 : 389,050.40 = 200,288.80 : x
  2. Step 2: Convert to fraction form
    259,366.96/389,050.40 = 200,288.80/x
  3. Step 3: Cross multiply
    259,366.96x = 389,050.40 × 200,288.80
  4. Step 4: Simplify right side
    259,366.96x = 77,922,437,755.52
  5. Step 5: Solve for x
    x = 77,922,437,755.52/259,366.96
  6. Step 6: Final answer
    x = 300,433.17

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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.