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Finding the Fourth Proportional to 547,677.40, 755,767.70 and 305,911.80

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Solution

The fourth proportional to 547,677.40, 755,767.70 and 305,911.80 is: 422,143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,677.40 : 755,767.70 = 305,911.80 : x
  2. Step 2: Convert to fraction form
    547,677.40/755,767.70 = 305,911.80/x
  3. Step 3: Cross multiply
    547,677.40x = 755,767.70 × 305,911.80
  4. Step 4: Simplify right side
    547,677.40x = 231,198,257,488.86
  5. Step 5: Solve for x
    x = 231,198,257,488.86/547,677.40
  6. Step 6: Final answer
    x = 422,143.14

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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.