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Finding the Fourth Proportional to 415,285.32, 622,414.03 and 295,150.80

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Solution

The fourth proportional to 415,285.32, 622,414.03 and 295,150.80 is: 442,360.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,285.32 : 622,414.03 = 295,150.80 : x
  2. Step 2: Convert to fraction form
    415,285.32/622,414.03 = 295,150.80/x
  3. Step 3: Cross multiply
    415,285.32x = 622,414.03 × 295,150.80
  4. Step 4: Simplify right side
    415,285.32x = 183,705,998,885.72
  5. Step 5: Solve for x
    x = 183,705,998,885.72/415,285.32
  6. Step 6: Final answer
    x = 442,360.93

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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.