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Finding the Fourth Proportional to 349,254, 481,971.13 and 198,351

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Solution

The fourth proportional to 349,254, 481,971.13 and 198,351 is: 273,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,254 : 481,971.13 = 198,351 : x
  2. Step 2: Convert to fraction form
    349,254/481,971.13 = 198,351/x
  3. Step 3: Cross multiply
    349,254x = 481,971.13 × 198,351
  4. Step 4: Simplify right side
    349,254x = 95,599,455,110.75
  5. Step 5: Solve for x
    x = 95,599,455,110.75/349,254
  6. Step 6: Final answer
    x = 273,724.73

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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.