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Finding the Fourth Proportional to 415,228.40, 622,711.38 and 148,982.96

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Solution

The fourth proportional to 415,228.40, 622,711.38 and 148,982.96 is: 223,427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,228.40 : 622,711.38 = 148,982.96 : x
  2. Step 2: Convert to fraction form
    415,228.40/622,711.38 = 148,982.96/x
  3. Step 3: Cross multiply
    415,228.40x = 622,711.38 × 148,982.96
  4. Step 4: Simplify right side
    415,228.40x = 92,773,384,618.08
  5. Step 5: Solve for x
    x = 92,773,384,618.08/415,228.40
  6. Step 6: Final answer
    x = 223,427.36

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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.