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Finding the Fourth Proportional to 277,139, 382,452.38 and 149,814.58

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Solution

The fourth proportional to 277,139, 382,452.38 and 149,814.58 is: 206,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,139 : 382,452.38 = 149,814.58 : x
  2. Step 2: Convert to fraction form
    277,139/382,452.38 = 149,814.58/x
  3. Step 3: Cross multiply
    277,139x = 382,452.38 × 149,814.58
  4. Step 4: Simplify right side
    277,139x = 57,296,942,679.70
  5. Step 5: Solve for x
    x = 57,296,942,679.70/277,139
  6. Step 6: Final answer
    x = 206,744.42

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1.5x scale

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.