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Finding the Fourth Proportional to 397,010.97, 595,261.31 and 261,918.77

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Solution

The fourth proportional to 397,010.97, 595,261.31 and 261,918.77 is: 392,709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,010.97 : 595,261.31 = 261,918.77 : x
  2. Step 2: Convert to fraction form
    397,010.97/595,261.31 = 261,918.77/x
  3. Step 3: Cross multiply
    397,010.97x = 595,261.31 × 261,918.77
  4. Step 4: Simplify right side
    397,010.97x = 155,910,105,857.89
  5. Step 5: Solve for x
    x = 155,910,105,857.89/397,010.97
  6. Step 6: Final answer
    x = 392,709.82

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1.5x scale

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.