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Finding the Fourth Proportional to 372,112.18, 513,552.92 and 219,198.50

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Solution

The fourth proportional to 372,112.18, 513,552.92 and 219,198.50 is: 302,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,112.18 : 513,552.92 = 219,198.50 : x
  2. Step 2: Convert to fraction form
    372,112.18/513,552.92 = 219,198.50/x
  3. Step 3: Cross multiply
    372,112.18x = 513,552.92 × 219,198.50
  4. Step 4: Simplify right side
    372,112.18x = 112,570,029,734.62
  5. Step 5: Solve for x
    x = 112,570,029,734.62/372,112.18
  6. Step 6: Final answer
    x = 302,516.38

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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.