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Finding the Fourth Proportional to 272,279.40, 407,835.90 and 225,623.40

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Solution

The fourth proportional to 272,279.40, 407,835.90 and 225,623.40 is: 337,951.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,279.40 : 407,835.90 = 225,623.40 : x
  2. Step 2: Convert to fraction form
    272,279.40/407,835.90 = 225,623.40/x
  3. Step 3: Cross multiply
    272,279.40x = 407,835.90 × 225,623.40
  4. Step 4: Simplify right side
    272,279.40x = 92,017,322,400.06
  5. Step 5: Solve for x
    x = 92,017,322,400.06/272,279.40
  6. Step 6: Final answer
    x = 337,951.83

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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.