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Finding the Fourth Proportional to 277,301.75, 382,676.36 and 149,977.31

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Solution

The fourth proportional to 277,301.75, 382,676.36 and 149,977.31 is: 206,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,301.75 : 382,676.36 = 149,977.31 : x
  2. Step 2: Convert to fraction form
    277,301.75/382,676.36 = 149,977.31/x
  3. Step 3: Cross multiply
    277,301.75x = 382,676.36 × 149,977.31
  4. Step 4: Simplify right side
    277,301.75x = 57,392,771,280.20
  5. Step 5: Solve for x
    x = 57,392,771,280.20/277,301.75
  6. Step 6: Final answer
    x = 206,968.66

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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.