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Finding the Fourth Proportional to 277,311.76, 382,690.15 and 149,987.32

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Solution

The fourth proportional to 277,311.76, 382,690.15 and 149,987.32 is: 206,982.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,311.76 : 382,690.15 = 149,987.32 : x
  2. Step 2: Convert to fraction form
    277,311.76/382,690.15 = 149,987.32/x
  3. Step 3: Cross multiply
    277,311.76x = 382,690.15 × 149,987.32
  4. Step 4: Simplify right side
    277,311.76x = 57,398,669,988.90
  5. Step 5: Solve for x
    x = 57,398,669,988.90/277,311.76
  6. Step 6: Final answer
    x = 206,982.46

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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.