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Finding the Fourth Proportional to 305,834.33, 458,901.86 and 137,473.61

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Solution

The fourth proportional to 305,834.33, 458,901.86 and 137,473.61 is: 206,277.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,834.33 : 458,901.86 = 137,473.61 : x
  2. Step 2: Convert to fraction form
    305,834.33/458,901.86 = 137,473.61/x
  3. Step 3: Cross multiply
    305,834.33x = 458,901.86 × 137,473.61
  4. Step 4: Simplify right side
    305,834.33x = 63,086,892,348.04
  5. Step 5: Solve for x
    x = 63,086,892,348.04/305,834.33
  6. Step 6: Final answer
    x = 206,277.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.