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Finding the Fourth Proportional to 305,144.56, 421,122.84 and 192,064.24

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Solution

The fourth proportional to 305,144.56, 421,122.84 and 192,064.24 is: 265,063.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,144.56 : 421,122.84 = 192,064.24 : x
  2. Step 2: Convert to fraction form
    305,144.56/421,122.84 = 192,064.24/x
  3. Step 3: Cross multiply
    305,144.56x = 421,122.84 × 192,064.24
  4. Step 4: Simplify right side
    305,144.56x = 80,882,638,211.24
  5. Step 5: Solve for x
    x = 80,882,638,211.24/305,144.56
  6. Step 6: Final answer
    x = 265,063.35

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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.