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Finding the Fourth Proportional to 228,398.78, 314,982.06 and 196,123.25

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Solution

The fourth proportional to 228,398.78, 314,982.06 and 196,123.25 is: 270,471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,398.78 : 314,982.06 = 196,123.25 : x
  2. Step 2: Convert to fraction form
    228,398.78/314,982.06 = 196,123.25/x
  3. Step 3: Cross multiply
    228,398.78x = 314,982.06 × 196,123.25
  4. Step 4: Simplify right side
    228,398.78x = 61,775,305,298.90
  5. Step 5: Solve for x
    x = 61,775,305,298.90/228,398.78
  6. Step 6: Final answer
    x = 270,471.26

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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.