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Finding the Fourth Proportional to 547,655.34, 755,737.38 and 305,889.78

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Solution

The fourth proportional to 547,655.34, 755,737.38 and 305,889.78 is: 422,112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,655.34 : 755,737.38 = 305,889.78 : x
  2. Step 2: Convert to fraction form
    547,655.34/755,737.38 = 305,889.78/x
  3. Step 3: Cross multiply
    547,655.34x = 755,737.38 × 305,889.78
  4. Step 4: Simplify right side
    547,655.34x = 231,172,340,905.98
  5. Step 5: Solve for x
    x = 231,172,340,905.98/547,655.34
  6. Step 6: Final answer
    x = 422,112.82

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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.