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Finding the Fourth Proportional to 253,038.78, 379,552.10 and 82,260.27

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Solution

The fourth proportional to 253,038.78, 379,552.10 and 82,260.27 is: 123,388.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,038.78 : 379,552.10 = 82,260.27 : x
  2. Step 2: Convert to fraction form
    253,038.78/379,552.10 = 82,260.27/x
  3. Step 3: Cross multiply
    253,038.78x = 379,552.10 × 82,260.27
  4. Step 4: Simplify right side
    253,038.78x = 31,222,057,813.77
  5. Step 5: Solve for x
    x = 31,222,057,813.77/253,038.78
  6. Step 6: Final answer
    x = 123,388.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.