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Finding the Fourth Proportional to 505,470.33, 758,190.90 and 205,876.83

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Solution

The fourth proportional to 505,470.33, 758,190.90 and 205,876.83 is: 308,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,470.33 : 758,190.90 = 205,876.83 : x
  2. Step 2: Convert to fraction form
    505,470.33/758,190.90 = 205,876.83/x
  3. Step 3: Cross multiply
    505,470.33x = 758,190.90 × 205,876.83
  4. Step 4: Simplify right side
    505,470.33x = 156,093,939,026.85
  5. Step 5: Solve for x
    x = 156,093,939,026.85/505,470.33
  6. Step 6: Final answer
    x = 308,809.30

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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.