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Finding the Fourth Proportional to 305,379, 421,423.56 and 169,408.80

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Solution

The fourth proportional to 305,379, 421,423.56 and 169,408.80 is: 233,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,379 : 421,423.56 = 169,408.80 : x
  2. Step 2: Convert to fraction form
    305,379/421,423.56 = 169,408.80/x
  3. Step 3: Cross multiply
    305,379x = 421,423.56 × 169,408.80
  4. Step 4: Simplify right side
    305,379x = 71,392,859,591.33
  5. Step 5: Solve for x
    x = 71,392,859,591.33/305,379
  6. Step 6: Final answer
    x = 233,784.44

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1.5x scale

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.