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Finding the Fourth Proportional to 415,276.40, 622,396.20 and 304,338.80

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Solution

The fourth proportional to 415,276.40, 622,396.20 and 304,338.80 is: 456,128.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,276.40 : 622,396.20 = 304,338.80 : x
  2. Step 2: Convert to fraction form
    415,276.40/622,396.20 = 304,338.80/x
  3. Step 3: Cross multiply
    415,276.40x = 622,396.20 × 304,338.80
  4. Step 4: Simplify right side
    415,276.40x = 189,419,312,632.56
  5. Step 5: Solve for x
    x = 189,419,312,632.56/415,276.40
  6. Step 6: Final answer
    x = 456,128.29

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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.