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Finding the Fourth Proportional to 413,201.28, 620,134.02 and 213,580.16

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Solution

The fourth proportional to 413,201.28, 620,134.02 and 213,580.16 is: 320,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,201.28 : 620,134.02 = 213,580.16 : x
  2. Step 2: Convert to fraction form
    413,201.28/620,134.02 = 213,580.16/x
  3. Step 3: Cross multiply
    413,201.28x = 620,134.02 × 213,580.16
  4. Step 4: Simplify right side
    413,201.28x = 132,448,323,213.04
  5. Step 5: Solve for x
    x = 132,448,323,213.04/413,201.28
  6. Step 6: Final answer
    x = 320,541.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.