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Finding the Fourth Proportional to 547,648.74, 755,751.63 and 305,929.17

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Solution

The fourth proportional to 547,648.74, 755,751.63 and 305,929.17 is: 422,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,648.74 : 755,751.63 = 305,929.17 : x
  2. Step 2: Convert to fraction form
    547,648.74/755,751.63 = 305,929.17/x
  3. Step 3: Cross multiply
    547,648.74x = 755,751.63 × 305,929.17
  4. Step 4: Simplify right side
    547,648.74x = 231,206,468,892.05
  5. Step 5: Solve for x
    x = 231,206,468,892.05/547,648.74
  6. Step 6: Final answer
    x = 422,180.23

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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.