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Finding the Fourth Proportional to 277,189.80, 382,522.47 and 149,865.39

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Solution

The fourth proportional to 277,189.80, 382,522.47 and 149,865.39 is: 206,814.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,189.80 : 382,522.47 = 149,865.39 : x
  2. Step 2: Convert to fraction form
    277,189.80/382,522.47 = 149,865.39/x
  3. Step 3: Cross multiply
    277,189.80x = 382,522.47 × 149,865.39
  4. Step 4: Simplify right side
    277,189.80x = 57,326,879,852.81
  5. Step 5: Solve for x
    x = 57,326,879,852.81/277,189.80
  6. Step 6: Final answer
    x = 206,814.54

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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.