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Finding the Fourth Proportional to 305,189.94, 421,167.18 and 169,229.62

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Solution

The fourth proportional to 305,189.94, 421,167.18 and 169,229.62 is: 233,539.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,189.94 : 421,167.18 = 169,229.62 : x
  2. Step 2: Convert to fraction form
    305,189.94/421,167.18 = 169,229.62/x
  3. Step 3: Cross multiply
    305,189.94x = 421,167.18 × 169,229.62
  4. Step 4: Simplify right side
    305,189.94x = 71,273,958,875.89
  5. Step 5: Solve for x
    x = 71,273,958,875.89/305,189.94
  6. Step 6: Final answer
    x = 233,539.67

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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.