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Finding the Fourth Proportional to 347,583.63, 521,378.63 and 137,221.57

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Solution

The fourth proportional to 347,583.63, 521,378.63 and 137,221.57 is: 205,833.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,583.63 : 521,378.63 = 137,221.57 : x
  2. Step 2: Convert to fraction form
    347,583.63/521,378.63 = 137,221.57/x
  3. Step 3: Cross multiply
    347,583.63x = 521,378.63 × 137,221.57
  4. Step 4: Simplify right side
    347,583.63x = 71,544,394,173.05
  5. Step 5: Solve for x
    x = 71,544,394,173.05/347,583.63
  6. Step 6: Final answer
    x = 205,833.61

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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.