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Finding the Fourth Proportional to 492,969.50, 680,297.91 and 266,615

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Solution

The fourth proportional to 492,969.50, 680,297.91 and 266,615 is: 367,928.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,969.50 : 680,297.91 = 266,615 : x
  2. Step 2: Convert to fraction form
    492,969.50/680,297.91 = 266,615/x
  3. Step 3: Cross multiply
    492,969.50x = 680,297.91 × 266,615
  4. Step 4: Simplify right side
    492,969.50x = 181,377,627,274.65
  5. Step 5: Solve for x
    x = 181,377,627,274.65/492,969.50
  6. Step 6: Final answer
    x = 367,928.70

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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.