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Finding the Fourth Proportional to 277,086.42, 382,378.68 and 149,761.71

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Solution

The fourth proportional to 277,086.42, 382,378.68 and 149,761.71 is: 206,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,086.42 : 382,378.68 = 149,761.71 : x
  2. Step 2: Convert to fraction form
    277,086.42/382,378.68 = 149,761.71/x
  3. Step 3: Cross multiply
    277,086.42x = 382,378.68 × 149,761.71
  4. Step 4: Simplify right side
    277,086.42x = 57,265,684,984.34
  5. Step 5: Solve for x
    x = 57,265,684,984.34/277,086.42
  6. Step 6: Final answer
    x = 206,670.85

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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.