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Finding the Fourth Proportional to 321,661.96, 482,537.58 and 186,789.76

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Solution

The fourth proportional to 321,661.96, 482,537.58 and 186,789.76 is: 280,210.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,661.96 : 482,537.58 = 186,789.76 : x
  2. Step 2: Convert to fraction form
    321,661.96/482,537.58 = 186,789.76/x
  3. Step 3: Cross multiply
    321,661.96x = 482,537.58 × 186,789.76
  4. Step 4: Simplify right side
    321,661.96x = 90,133,078,759.18
  5. Step 5: Solve for x
    x = 90,133,078,759.18/321,661.96
  6. Step 6: Final answer
    x = 280,210.56

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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.