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Finding the Fourth Proportional to 505,822.70, 758,624.70 and 221,512.70

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Solution

The fourth proportional to 505,822.70, 758,624.70 and 221,512.70 is: 332,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,822.70 : 758,624.70 = 221,512.70 : x
  2. Step 2: Convert to fraction form
    505,822.70/758,624.70 = 221,512.70/x
  3. Step 3: Cross multiply
    505,822.70x = 758,624.70 × 221,512.70
  4. Step 4: Simplify right side
    505,822.70x = 168,045,005,583.69
  5. Step 5: Solve for x
    x = 168,045,005,583.69/505,822.70
  6. Step 6: Final answer
    x = 332,221.16

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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.