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Finding the Fourth Proportional to 231,910.56, 347,242.28 and 147,212.22

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Solution

The fourth proportional to 231,910.56, 347,242.28 and 147,212.22 is: 220,422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,910.56 : 347,242.28 = 147,212.22 : x
  2. Step 2: Convert to fraction form
    231,910.56/347,242.28 = 147,212.22/x
  3. Step 3: Cross multiply
    231,910.56x = 347,242.28 × 147,212.22
  4. Step 4: Simplify right side
    231,910.56x = 51,118,306,916.66
  5. Step 5: Solve for x
    x = 51,118,306,916.66/231,910.56
  6. Step 6: Final answer
    x = 220,422.51

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1.5x scale

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.