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Finding the Fourth Proportional to 268,512, 370,546.56 and 149,280

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Solution

The fourth proportional to 268,512, 370,546.56 and 149,280 is: 206,006.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,512 : 370,546.56 = 149,280 : x
  2. Step 2: Convert to fraction form
    268,512/370,546.56 = 149,280/x
  3. Step 3: Cross multiply
    268,512x = 370,546.56 × 149,280
  4. Step 4: Simplify right side
    268,512x = 55,315,190,476.80
  5. Step 5: Solve for x
    x = 55,315,190,476.80/268,512
  6. Step 6: Final answer
    x = 206,006.40

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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.