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Finding the Fourth Proportional to 288,876.94, 398,750.38 and 198,531.97

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Solution

The fourth proportional to 288,876.94, 398,750.38 and 198,531.97 is: 274,042.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,876.94 : 398,750.38 = 198,531.97 : x
  2. Step 2: Convert to fraction form
    288,876.94/398,750.38 = 198,531.97/x
  3. Step 3: Cross multiply
    288,876.94x = 398,750.38 × 198,531.97
  4. Step 4: Simplify right side
    288,876.94x = 79,164,698,479.65
  5. Step 5: Solve for x
    x = 79,164,698,479.65/288,876.94
  6. Step 6: Final answer
    x = 274,042.98

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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.