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Finding the Fourth Proportional to 427,324.72, 589,772.07 and 266,231.65

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Solution

The fourth proportional to 427,324.72, 589,772.07 and 266,231.65 is: 367,439.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,324.72 : 589,772.07 = 266,231.65 : x
  2. Step 2: Convert to fraction form
    427,324.72/589,772.07 = 266,231.65/x
  3. Step 3: Cross multiply
    427,324.72x = 589,772.07 × 266,231.65
  4. Step 4: Simplify right side
    427,324.72x = 157,015,989,845.59
  5. Step 5: Solve for x
    x = 157,015,989,845.59/427,324.72
  6. Step 6: Final answer
    x = 367,439.52

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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.