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Finding the Fourth Proportional to 517,358.38, 713,939.92 and 287,912

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Solution

The fourth proportional to 517,358.38, 713,939.92 and 287,912 is: 397,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,358.38 : 713,939.92 = 287,912 : x
  2. Step 2: Convert to fraction form
    517,358.38/713,939.92 = 287,912/x
  3. Step 3: Cross multiply
    517,358.38x = 713,939.92 × 287,912
  4. Step 4: Simplify right side
    517,358.38x = 205,551,870,247.04
  5. Step 5: Solve for x
    x = 205,551,870,247.04/517,358.38
  6. Step 6: Final answer
    x = 397,310.41

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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.