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Finding the Fourth Proportional to 228,396.78, 314,979.30 and 196,121.25

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Solution

The fourth proportional to 228,396.78, 314,979.30 and 196,121.25 is: 270,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,396.78 : 314,979.30 = 196,121.25 : x
  2. Step 2: Convert to fraction form
    228,396.78/314,979.30 = 196,121.25/x
  3. Step 3: Cross multiply
    228,396.78x = 314,979.30 × 196,121.25
  4. Step 4: Simplify right side
    228,396.78x = 61,774,134,040.13
  5. Step 5: Solve for x
    x = 61,774,134,040.13/228,396.78
  6. Step 6: Final answer
    x = 270,468.50

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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.