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Finding the Fourth Proportional to 231,485.80, 347,811.90 and 147,286.30

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Solution

The fourth proportional to 231,485.80, 347,811.90 and 147,286.30 is: 221,300.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,485.80 : 347,811.90 = 147,286.30 : x
  2. Step 2: Convert to fraction form
    231,485.80/347,811.90 = 147,286.30/x
  3. Step 3: Cross multiply
    231,485.80x = 347,811.90 × 147,286.30
  4. Step 4: Simplify right side
    231,485.80x = 51,227,927,846.97
  5. Step 5: Solve for x
    x = 51,227,927,846.97/231,485.80
  6. Step 6: Final answer
    x = 221,300.52

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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.