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Finding the Fourth Proportional to 397,272.80, 547,699.84 and 269,726.96

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Solution

The fourth proportional to 397,272.80, 547,699.84 and 269,726.96 is: 371,858.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,272.80 : 547,699.84 = 269,726.96 : x
  2. Step 2: Convert to fraction form
    397,272.80/547,699.84 = 269,726.96/x
  3. Step 3: Cross multiply
    397,272.80x = 547,699.84 × 269,726.96
  4. Step 4: Simplify right side
    397,272.80x = 147,729,412,835.69
  5. Step 5: Solve for x
    x = 147,729,412,835.69/397,272.80
  6. Step 6: Final answer
    x = 371,858.87

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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.