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Finding the Fourth Proportional to 492,399.54, 738,678.05 and 208,092.84

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Solution

The fourth proportional to 492,399.54, 738,678.05 and 208,092.84 is: 312,172.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,399.54 : 738,678.05 = 208,092.84 : x
  2. Step 2: Convert to fraction form
    492,399.54/738,678.05 = 208,092.84/x
  3. Step 3: Cross multiply
    492,399.54x = 738,678.05 × 208,092.84
  4. Step 4: Simplify right side
    492,399.54x = 153,713,612,229.70
  5. Step 5: Solve for x
    x = 153,713,612,229.70/492,399.54
  6. Step 6: Final answer
    x = 312,172.53

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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.