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Finding the Fourth Proportional to 492,861.54, 680,148.45 and 266,506.50

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Solution

The fourth proportional to 492,861.54, 680,148.45 and 266,506.50 is: 367,778.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,861.54 : 680,148.45 = 266,506.50 : x
  2. Step 2: Convert to fraction form
    492,861.54/680,148.45 = 266,506.50/x
  3. Step 3: Cross multiply
    492,861.54x = 680,148.45 × 266,506.50
  4. Step 4: Simplify right side
    492,861.54x = 181,263,982,889.93
  5. Step 5: Solve for x
    x = 181,263,982,889.93/492,861.54
  6. Step 6: Final answer
    x = 367,778.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.