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Finding the Fourth Proportional to 397,063.89, 547,946.37 and 215,772.39

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Solution

The fourth proportional to 397,063.89, 547,946.37 and 215,772.39 is: 297,764.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,063.89 : 547,946.37 = 215,772.39 : x
  2. Step 2: Convert to fraction form
    397,063.89/547,946.37 = 215,772.39/x
  3. Step 3: Cross multiply
    397,063.89x = 547,946.37 × 215,772.39
  4. Step 4: Simplify right side
    397,063.89x = 118,231,697,846.72
  5. Step 5: Solve for x
    x = 118,231,697,846.72/397,063.89
  6. Step 6: Final answer
    x = 297,764.92

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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.