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Finding the Fourth Proportional to 415,231.80, 622,847.70 and 134,777.40

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Solution

The fourth proportional to 415,231.80, 622,847.70 and 134,777.40 is: 202,166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,231.80 : 622,847.70 = 134,777.40 : x
  2. Step 2: Convert to fraction form
    415,231.80/622,847.70 = 134,777.40/x
  3. Step 3: Cross multiply
    415,231.80x = 622,847.70 × 134,777.40
  4. Step 4: Simplify right side
    415,231.80x = 83,945,793,601.98
  5. Step 5: Solve for x
    x = 83,945,793,601.98/415,231.80
  6. Step 6: Final answer
    x = 202,166.10

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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.