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Finding the Fourth Proportional to 305,205.48, 421,188.58 and 169,245.14

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Solution

The fourth proportional to 305,205.48, 421,188.58 and 169,245.14 is: 233,561.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,205.48 : 421,188.58 = 169,245.14 : x
  2. Step 2: Convert to fraction form
    305,205.48/421,188.58 = 169,245.14/x
  3. Step 3: Cross multiply
    305,205.48x = 421,188.58 × 169,245.14
  4. Step 4: Simplify right side
    305,205.48x = 71,284,120,188.50
  5. Step 5: Solve for x
    x = 71,284,120,188.50/305,205.48
  6. Step 6: Final answer
    x = 233,561.08

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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.