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Finding the Fourth Proportional to 277,314.76, 382,694.39 and 149,990.32

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Solution

The fourth proportional to 277,314.76, 382,694.39 and 149,990.32 is: 206,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,314.76 : 382,694.39 = 149,990.32 : x
  2. Step 2: Convert to fraction form
    277,314.76/382,694.39 = 149,990.32/x
  3. Step 3: Cross multiply
    277,314.76x = 382,694.39 × 149,990.32
  4. Step 4: Simplify right side
    277,314.76x = 57,400,454,018.30
  5. Step 5: Solve for x
    x = 57,400,454,018.30/277,314.76
  6. Step 6: Final answer
    x = 206,986.65

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1.5x scale

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.