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Finding the Fourth Proportional to 381,989.76, 572,441.28 and 281,358.60

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Solution

The fourth proportional to 381,989.76, 572,441.28 and 281,358.60 is: 421,637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,989.76 : 572,441.28 = 281,358.60 : x
  2. Step 2: Convert to fraction form
    381,989.76/572,441.28 = 281,358.60/x
  3. Step 3: Cross multiply
    381,989.76x = 572,441.28 × 281,358.60
  4. Step 4: Simplify right side
    381,989.76x = 161,061,277,123.01
  5. Step 5: Solve for x
    x = 161,061,277,123.01/381,989.76
  6. Step 6: Final answer
    x = 421,637.68

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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.