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Finding the Fourth Proportional to 268,219, 401,716.14 and 128,076.04

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Solution

The fourth proportional to 268,219, 401,716.14 and 128,076.04 is: 191,821.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,219 : 401,716.14 = 128,076.04 : x
  2. Step 2: Convert to fraction form
    268,219/401,716.14 = 128,076.04/x
  3. Step 3: Cross multiply
    268,219x = 401,716.14 × 128,076.04
  4. Step 4: Simplify right side
    268,219x = 51,450,212,415.29
  5. Step 5: Solve for x
    x = 51,450,212,415.29/268,219
  6. Step 6: Final answer
    x = 191,821.65

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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.