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Finding the Fourth Proportional to 305,287.25, 420,909.21 and 218,176.40

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Solution

The fourth proportional to 305,287.25, 420,909.21 and 218,176.40 is: 300,806.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,287.25 : 420,909.21 = 218,176.40 : x
  2. Step 2: Convert to fraction form
    305,287.25/420,909.21 = 218,176.40/x
  3. Step 3: Cross multiply
    305,287.25x = 420,909.21 × 218,176.40
  4. Step 4: Simplify right side
    305,287.25x = 91,832,457,216.92
  5. Step 5: Solve for x
    x = 91,832,457,216.92/305,287.25
  6. Step 6: Final answer
    x = 300,806.73

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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.