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Finding the Fourth Proportional to 547,796.70, 755,963.16 and 306,089.46

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Solution

The fourth proportional to 547,796.70, 755,963.16 and 306,089.46 is: 422,405.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,796.70 : 755,963.16 = 306,089.46 : x
  2. Step 2: Convert to fraction form
    547,796.70/755,963.16 = 306,089.46/x
  3. Step 3: Cross multiply
    547,796.70x = 755,963.16 × 306,089.46
  4. Step 4: Simplify right side
    547,796.70x = 231,392,355,424.29
  5. Step 5: Solve for x
    x = 231,392,355,424.29/547,796.70
  6. Step 6: Final answer
    x = 422,405.53

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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.