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Finding the Fourth Proportional to 253,189.20, 349,408.44 and 138,474.48

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Solution

The fourth proportional to 253,189.20, 349,408.44 and 138,474.48 is: 191,098.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,189.20 : 349,408.44 = 138,474.48 : x
  2. Step 2: Convert to fraction form
    253,189.20/349,408.44 = 138,474.48/x
  3. Step 3: Cross multiply
    253,189.20x = 349,408.44 × 138,474.48
  4. Step 4: Simplify right side
    253,189.20x = 48,384,152,036.61
  5. Step 5: Solve for x
    x = 48,384,152,036.61/253,189.20
  6. Step 6: Final answer
    x = 191,098.80

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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.