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Finding the Fourth Proportional to 547,658.34, 755,741.52 and 305,892.78

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Solution

The fourth proportional to 547,658.34, 755,741.52 and 305,892.78 is: 422,116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,658.34 : 755,741.52 = 305,892.78 : x
  2. Step 2: Convert to fraction form
    547,658.34/755,741.52 = 305,892.78/x
  3. Step 3: Cross multiply
    547,658.34x = 755,741.52 × 305,892.78
  4. Step 4: Simplify right side
    547,658.34x = 231,175,874,514.23
  5. Step 5: Solve for x
    x = 231,175,874,514.23/547,658.34
  6. Step 6: Final answer
    x = 422,116.96

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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.