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Finding the Fourth Proportional to 277,317.27, 382,697.87 and 149,992.86

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Solution

The fourth proportional to 277,317.27, 382,697.87 and 149,992.86 is: 206,990.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,317.27 : 382,697.87 = 149,992.86 : x
  2. Step 2: Convert to fraction form
    277,317.27/382,697.87 = 149,992.86/x
  3. Step 3: Cross multiply
    277,317.27x = 382,697.87 × 149,992.86
  4. Step 4: Simplify right side
    277,317.27x = 57,401,948,722.36
  5. Step 5: Solve for x
    x = 57,401,948,722.36/277,317.27
  6. Step 6: Final answer
    x = 206,990.17

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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.