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Finding the Fourth Proportional to 277,289.42, 382,659.66 and 149,965.01

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Solution

The fourth proportional to 277,289.42, 382,659.66 and 149,965.01 is: 206,951.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,289.42 : 382,659.66 = 149,965.01 : x
  2. Step 2: Convert to fraction form
    277,289.42/382,659.66 = 149,965.01/x
  3. Step 3: Cross multiply
    277,289.42x = 382,659.66 × 149,965.01
  4. Step 4: Simplify right side
    277,289.42x = 57,385,559,738.50
  5. Step 5: Solve for x
    x = 57,385,559,738.50/277,289.42
  6. Step 6: Final answer
    x = 206,951.85

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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.