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Finding the Fourth Proportional to 547,657.12, 755,712.48 and 305,934.49

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Solution

The fourth proportional to 547,657.12, 755,712.48 and 305,934.49 is: 422,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,657.12 : 755,712.48 = 305,934.49 : x
  2. Step 2: Convert to fraction form
    547,657.12/755,712.48 = 305,934.49/x
  3. Step 3: Cross multiply
    547,657.12x = 755,712.48 × 305,934.49
  4. Step 4: Simplify right side
    547,657.12x = 231,198,512,155.44
  5. Step 5: Solve for x
    x = 231,198,512,155.44/547,657.12
  6. Step 6: Final answer
    x = 422,159.24

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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.