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Finding the Fourth Proportional to 277,311.21, 382,689.18 and 149,986.50

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Solution

The fourth proportional to 277,311.21, 382,689.18 and 149,986.50 is: 206,981.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,311.21 : 382,689.18 = 149,986.50 : x
  2. Step 2: Convert to fraction form
    277,311.21/382,689.18 = 149,986.50/x
  3. Step 3: Cross multiply
    277,311.21x = 382,689.18 × 149,986.50
  4. Step 4: Simplify right side
    277,311.21x = 57,398,210,696.07
  5. Step 5: Solve for x
    x = 57,398,210,696.07/277,311.21
  6. Step 6: Final answer
    x = 206,981.21

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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.