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Finding the Fourth Proportional to 231,911.56, 347,243.78 and 147,213.22

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Solution

The fourth proportional to 231,911.56, 347,243.78 and 147,213.22 is: 220,424.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,911.56 : 347,243.78 = 147,213.22 : x
  2. Step 2: Convert to fraction form
    231,911.56/347,243.78 = 147,213.22/x
  3. Step 3: Cross multiply
    231,911.56x = 347,243.78 × 147,213.22
  4. Step 4: Simplify right side
    231,911.56x = 51,118,874,978.77
  5. Step 5: Solve for x
    x = 51,118,874,978.77/231,911.56
  6. Step 6: Final answer
    x = 220,424.01

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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.