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Finding the Fourth Proportional to 288,952.50, 398,754.45 and 188,350.50

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Solution

The fourth proportional to 288,952.50, 398,754.45 and 188,350.50 is: 259,923.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,952.50 : 398,754.45 = 188,350.50 : x
  2. Step 2: Convert to fraction form
    288,952.50/398,754.45 = 188,350.50/x
  3. Step 3: Cross multiply
    288,952.50x = 398,754.45 × 188,350.50
  4. Step 4: Simplify right side
    288,952.50x = 75,105,600,034.73
  5. Step 5: Solve for x
    x = 75,105,600,034.73/288,952.50
  6. Step 6: Final answer
    x = 259,923.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.