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Finding the Fourth Proportional to 305,205.84, 421,189.10 and 169,245.52

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Solution

The fourth proportional to 305,205.84, 421,189.10 and 169,245.52 is: 233,561.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,205.84 : 421,189.10 = 169,245.52 : x
  2. Step 2: Convert to fraction form
    305,205.84/421,189.10 = 169,245.52/x
  3. Step 3: Cross multiply
    305,205.84x = 421,189.10 × 169,245.52
  4. Step 4: Simplify right side
    305,205.84x = 71,284,368,247.83
  5. Step 5: Solve for x
    x = 71,284,368,247.83/305,205.84
  6. Step 6: Final answer
    x = 233,561.61

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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.