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Finding the Fourth Proportional to 253,408.50, 379,809.41 and 118,290.78

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Solution

The fourth proportional to 253,408.50, 379,809.41 and 118,290.78 is: 177,294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,408.50 : 379,809.41 = 118,290.78 : x
  2. Step 2: Convert to fraction form
    253,408.50/379,809.41 = 118,290.78/x
  3. Step 3: Cross multiply
    253,408.50x = 379,809.41 × 118,290.78
  4. Step 4: Simplify right side
    253,408.50x = 44,927,950,768.79
  5. Step 5: Solve for x
    x = 44,927,950,768.79/253,408.50
  6. Step 6: Final answer
    x = 177,294.57

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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.