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Finding the Fourth Proportional to 397,630.44, 548,745.18 and 227,897.40

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Solution

The fourth proportional to 397,630.44, 548,745.18 and 227,897.40 is: 314,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,630.44 : 548,745.18 = 227,897.40 : x
  2. Step 2: Convert to fraction form
    397,630.44/548,745.18 = 227,897.40/x
  3. Step 3: Cross multiply
    397,630.44x = 548,745.18 × 227,897.40
  4. Step 4: Simplify right side
    397,630.44x = 125,057,599,784.53
  5. Step 5: Solve for x
    x = 125,057,599,784.53/397,630.44
  6. Step 6: Final answer
    x = 314,507.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.