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Finding the Fourth Proportional to 315,288.96, 435,069.12 and 187,939.20

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Solution

The fourth proportional to 315,288.96, 435,069.12 and 187,939.20 is: 259,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,288.96 : 435,069.12 = 187,939.20 : x
  2. Step 2: Convert to fraction form
    315,288.96/435,069.12 = 187,939.20/x
  3. Step 3: Cross multiply
    315,288.96x = 435,069.12 × 187,939.20
  4. Step 4: Simplify right side
    315,288.96x = 81,766,542,357.50
  5. Step 5: Solve for x
    x = 81,766,542,357.50/315,288.96
  6. Step 6: Final answer
    x = 259,338.43

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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.