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Finding the Fourth Proportional to 492,010.45, 738,115.80 and 188,383.09

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Solution

The fourth proportional to 492,010.45, 738,115.80 and 188,383.09 is: 282,612.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,010.45 : 738,115.80 = 188,383.09 : x
  2. Step 2: Convert to fraction form
    492,010.45/738,115.80 = 188,383.09/x
  3. Step 3: Cross multiply
    492,010.45x = 738,115.80 × 188,383.09
  4. Step 4: Simplify right side
    492,010.45x = 139,048,532,630.10
  5. Step 5: Solve for x
    x = 139,048,532,630.10/492,010.45
  6. Step 6: Final answer
    x = 282,612.97

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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.