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Finding the Fourth Proportional to 323,989.32, 447,099 and 178,808.76

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Solution

The fourth proportional to 323,989.32, 447,099 and 178,808.76 is: 246,752.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,989.32 : 447,099 = 178,808.76 : x
  2. Step 2: Convert to fraction form
    323,989.32/447,099 = 178,808.76/x
  3. Step 3: Cross multiply
    323,989.32x = 447,099 × 178,808.76
  4. Step 4: Simplify right side
    323,989.32x = 79,945,217,787.24
  5. Step 5: Solve for x
    x = 79,945,217,787.24/323,989.32
  6. Step 6: Final answer
    x = 246,752.63

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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.