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Finding the Fourth Proportional to 305,287.20, 421,321.50 and 169,364.90

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Solution

The fourth proportional to 305,287.20, 421,321.50 and 169,364.90 is: 233,737.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,287.20 : 421,321.50 = 169,364.90 : x
  2. Step 2: Convert to fraction form
    305,287.20/421,321.50 = 169,364.90/x
  3. Step 3: Cross multiply
    305,287.20x = 421,321.50 × 169,364.90
  4. Step 4: Simplify right side
    305,287.20x = 71,357,073,715.35
  5. Step 5: Solve for x
    x = 71,357,073,715.35/305,287.20
  6. Step 6: Final answer
    x = 233,737.52

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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.