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Finding the Fourth Proportional to 378,863.40, 522,921.24 and 217,812.02

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Solution

The fourth proportional to 378,863.40, 522,921.24 and 217,812.02 is: 300,632.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,863.40 : 522,921.24 = 217,812.02 : x
  2. Step 2: Convert to fraction form
    378,863.40/522,921.24 = 217,812.02/x
  3. Step 3: Cross multiply
    378,863.40x = 522,921.24 × 217,812.02
  4. Step 4: Simplify right side
    378,863.40x = 113,898,528,970.70
  5. Step 5: Solve for x
    x = 113,898,528,970.70/378,863.40
  6. Step 6: Final answer
    x = 300,632.18

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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.