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Finding the Fourth Proportional to 229,238.70, 343,359.45 and 140,222.94

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Solution

The fourth proportional to 229,238.70, 343,359.45 and 140,222.94 is: 210,029.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,238.70 : 343,359.45 = 140,222.94 : x
  2. Step 2: Convert to fraction form
    229,238.70/343,359.45 = 140,222.94/x
  3. Step 3: Cross multiply
    229,238.70x = 343,359.45 × 140,222.94
  4. Step 4: Simplify right side
    229,238.70x = 48,146,871,555.78
  5. Step 5: Solve for x
    x = 48,146,871,555.78/229,238.70
  6. Step 6: Final answer
    x = 210,029.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.