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Finding the Fourth Proportional to 562,023.20, 842,640.60 and 206,991.20

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Solution

The fourth proportional to 562,023.20, 842,640.60 and 206,991.20 is: 310,341.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,023.20 : 842,640.60 = 206,991.20 : x
  2. Step 2: Convert to fraction form
    562,023.20/842,640.60 = 206,991.20/x
  3. Step 3: Cross multiply
    562,023.20x = 842,640.60 × 206,991.20
  4. Step 4: Simplify right side
    562,023.20x = 174,419,188,962.72
  5. Step 5: Solve for x
    x = 174,419,188,962.72/562,023.20
  6. Step 6: Final answer
    x = 310,341.62

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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.