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Finding the Fourth Proportional to 520,906.60, 781,403.10 and 165,910.60

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Solution

The fourth proportional to 520,906.60, 781,403.10 and 165,910.60 is: 248,879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,906.60 : 781,403.10 = 165,910.60 : x
  2. Step 2: Convert to fraction form
    520,906.60/781,403.10 = 165,910.60/x
  3. Step 3: Cross multiply
    520,906.60x = 781,403.10 × 165,910.60
  4. Step 4: Simplify right side
    520,906.60x = 129,643,057,162.86
  5. Step 5: Solve for x
    x = 129,643,057,162.86/520,906.60
  6. Step 6: Final answer
    x = 248,879.66

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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.