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Finding the Fourth Proportional to 323,710.90, 447,003.11 and 203,059.58

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Solution

The fourth proportional to 323,710.90, 447,003.11 and 203,059.58 is: 280,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,710.90 : 447,003.11 = 203,059.58 : x
  2. Step 2: Convert to fraction form
    323,710.90/447,003.11 = 203,059.58/x
  3. Step 3: Cross multiply
    323,710.90x = 447,003.11 × 203,059.58
  4. Step 4: Simplify right side
    323,710.90x = 90,768,260,905.72
  5. Step 5: Solve for x
    x = 90,768,260,905.72/323,710.90
  6. Step 6: Final answer
    x = 280,399.15

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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.