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Finding the Fourth Proportional to 492,586.60, 738,571.74 and 208,129.96

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Solution

The fourth proportional to 492,586.60, 738,571.74 and 208,129.96 is: 312,064.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,586.60 : 738,571.74 = 208,129.96 : x
  2. Step 2: Convert to fraction form
    492,586.60/738,571.74 = 208,129.96/x
  3. Step 3: Cross multiply
    492,586.60x = 738,571.74 × 208,129.96
  4. Step 4: Simplify right side
    492,586.60x = 153,718,906,703.33
  5. Step 5: Solve for x
    x = 153,718,906,703.33/492,586.60
  6. Step 6: Final answer
    x = 312,064.73

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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.