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Finding the Fourth Proportional to 505,811.70, 758,608.20 and 221,501.70

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Solution

The fourth proportional to 505,811.70, 758,608.20 and 221,501.70 is: 332,204.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,811.70 : 758,608.20 = 221,501.70 : x
  2. Step 2: Convert to fraction form
    505,811.70/758,608.20 = 221,501.70/x
  3. Step 3: Cross multiply
    505,811.70x = 758,608.20 × 221,501.70
  4. Step 4: Simplify right side
    505,811.70x = 168,033,005,933.94
  5. Step 5: Solve for x
    x = 168,033,005,933.94/505,811.70
  6. Step 6: Final answer
    x = 332,204.66

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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.