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Finding the Fourth Proportional to 261,346.42, 360,861.21 and 200,821.66

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Solution

The fourth proportional to 261,346.42, 360,861.21 and 200,821.66 is: 277,289.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,346.42 : 360,861.21 = 200,821.66 : x
  2. Step 2: Convert to fraction form
    261,346.42/360,861.21 = 200,821.66/x
  3. Step 3: Cross multiply
    261,346.42x = 360,861.21 × 200,821.66
  4. Step 4: Simplify right side
    261,346.42x = 72,468,747,221.81
  5. Step 5: Solve for x
    x = 72,468,747,221.81/261,346.42
  6. Step 6: Final answer
    x = 277,289.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.