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Finding the Fourth Proportional to 323,853.30, 447,055.74 and 203,063.40

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Solution

The fourth proportional to 323,853.30, 447,055.74 and 203,063.40 is: 280,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,853.30 : 447,055.74 = 203,063.40 : x
  2. Step 2: Convert to fraction form
    323,853.30/447,055.74 = 203,063.40/x
  3. Step 3: Cross multiply
    323,853.30x = 447,055.74 × 203,063.40
  4. Step 4: Simplify right side
    323,853.30x = 90,780,658,553.92
  5. Step 5: Solve for x
    x = 90,780,658,553.92/323,853.30
  6. Step 6: Final answer
    x = 280,314.14

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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.