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Finding the Fourth Proportional to 268,864, 371,032.32 and 149,660.16

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Solution

The fourth proportional to 268,864, 371,032.32 and 149,660.16 is: 206,531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,864 : 371,032.32 = 149,660.16 : x
  2. Step 2: Convert to fraction form
    268,864/371,032.32 = 149,660.16/x
  3. Step 3: Cross multiply
    268,864x = 371,032.32 × 149,660.16
  4. Step 4: Simplify right side
    268,864x = 55,528,756,376.37
  5. Step 5: Solve for x
    x = 55,528,756,376.37/268,864
  6. Step 6: Final answer
    x = 206,531.02

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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.