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Finding the Fourth Proportional to 415,915.30, 622,706.55 and 404,251.30

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Solution

The fourth proportional to 415,915.30, 622,706.55 and 404,251.30 is: 605,243.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,915.30 : 622,706.55 = 404,251.30 : x
  2. Step 2: Convert to fraction form
    415,915.30/622,706.55 = 404,251.30/x
  3. Step 3: Cross multiply
    415,915.30x = 622,706.55 × 404,251.30
  4. Step 4: Simplify right side
    415,915.30x = 251,729,932,356.02
  5. Step 5: Solve for x
    x = 251,729,932,356.02/415,915.30
  6. Step 6: Final answer
    x = 605,243.26

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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.