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Finding the Fourth Proportional to 321,722.76, 443,792.95 and 200,653.86

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Solution

The fourth proportional to 321,722.76, 443,792.95 and 200,653.86 is: 276,787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,722.76 : 443,792.95 = 200,653.86 : x
  2. Step 2: Convert to fraction form
    321,722.76/443,792.95 = 200,653.86/x
  3. Step 3: Cross multiply
    321,722.76x = 443,792.95 × 200,653.86
  4. Step 4: Simplify right side
    321,722.76x = 89,048,767,688.88
  5. Step 5: Solve for x
    x = 89,048,767,688.88/321,722.76
  6. Step 6: Final answer
    x = 276,787.28

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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.