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Finding the Fourth Proportional to 415,215.60, 622,823.40 and 394,479.60

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Solution

The fourth proportional to 415,215.60, 622,823.40 and 394,479.60 is: 591,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,215.60 : 622,823.40 = 394,479.60 : x
  2. Step 2: Convert to fraction form
    415,215.60/622,823.40 = 394,479.60/x
  3. Step 3: Cross multiply
    415,215.60x = 622,823.40 × 394,479.60
  4. Step 4: Simplify right side
    415,215.60x = 245,691,125,702.64
  5. Step 5: Solve for x
    x = 245,691,125,702.64/415,215.60
  6. Step 6: Final answer
    x = 591,719.40

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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.