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Finding the Fourth Proportional to 289,917.64, 434,519.52 and 138,194.50

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Solution

The fourth proportional to 289,917.64, 434,519.52 and 138,194.50 is: 207,121.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,917.64 : 434,519.52 = 138,194.50 : x
  2. Step 2: Convert to fraction form
    289,917.64/434,519.52 = 138,194.50/x
  3. Step 3: Cross multiply
    289,917.64x = 434,519.52 × 138,194.50
  4. Step 4: Simplify right side
    289,917.64x = 60,048,207,806.64
  5. Step 5: Solve for x
    x = 60,048,207,806.64/289,917.64
  6. Step 6: Final answer
    x = 207,121.61

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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.