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Finding the Fourth Proportional to 268,227, 401,728.14 and 128,084.04

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Solution

The fourth proportional to 268,227, 401,728.14 and 128,084.04 is: 191,833.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,227 : 401,728.14 = 128,084.04 : x
  2. Step 2: Convert to fraction form
    268,227/401,728.14 = 128,084.04/x
  3. Step 3: Cross multiply
    268,227x = 401,728.14 × 128,084.04
  4. Step 4: Simplify right side
    268,227x = 51,454,963,152.89
  5. Step 5: Solve for x
    x = 51,454,963,152.89/268,227
  6. Step 6: Final answer
    x = 191,833.65

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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.