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Finding the Fourth Proportional to 408,761.72, 613,267.42 and 209,223.48

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Solution

The fourth proportional to 408,761.72, 613,267.42 and 209,223.48 is: 313,899.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,761.72 : 613,267.42 = 209,223.48 : x
  2. Step 2: Convert to fraction form
    408,761.72/613,267.42 = 209,223.48/x
  3. Step 3: Cross multiply
    408,761.72x = 613,267.42 × 209,223.48
  4. Step 4: Simplify right side
    408,761.72x = 128,309,943,783.02
  5. Step 5: Solve for x
    x = 128,309,943,783.02/408,761.72
  6. Step 6: Final answer
    x = 313,899.12

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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.