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Finding the Fourth Proportional to 253,408.80, 349,648.34 and 151,419

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Solution

The fourth proportional to 253,408.80, 349,648.34 and 151,419 is: 208,924.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,408.80 : 349,648.34 = 151,419 : x
  2. Step 2: Convert to fraction form
    253,408.80/349,648.34 = 151,419/x
  3. Step 3: Cross multiply
    253,408.80x = 349,648.34 × 151,419
  4. Step 4: Simplify right side
    253,408.80x = 52,943,401,237.37
  5. Step 5: Solve for x
    x = 52,943,401,237.37/253,408.80
  6. Step 6: Final answer
    x = 208,924.87

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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.