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Finding the Fourth Proportional to 272,872.48, 409,386.48 and 198,067.36

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Solution

The fourth proportional to 272,872.48, 409,386.48 and 198,067.36 is: 297,157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,872.48 : 409,386.48 = 198,067.36 : x
  2. Step 2: Convert to fraction form
    272,872.48/409,386.48 = 198,067.36/x
  3. Step 3: Cross multiply
    272,872.48x = 409,386.48 × 198,067.36
  4. Step 4: Simplify right side
    272,872.48x = 81,086,099,313.29
  5. Step 5: Solve for x
    x = 81,086,099,313.29/272,872.48
  6. Step 6: Final answer
    x = 297,157.48

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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.