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Finding the Fourth Proportional to 273,639.57, 410,459.33 and 138,682.62

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Solution

The fourth proportional to 273,639.57, 410,459.33 and 138,682.62 is: 208,023.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,639.57 : 410,459.33 = 138,682.62 : x
  2. Step 2: Convert to fraction form
    273,639.57/410,459.33 = 138,682.62/x
  3. Step 3: Cross multiply
    273,639.57x = 410,459.33 × 138,682.62
  4. Step 4: Simplify right side
    273,639.57x = 56,923,575,852.97
  5. Step 5: Solve for x
    x = 56,923,575,852.97/273,639.57
  6. Step 6: Final answer
    x = 208,023.92

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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.