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Finding the Fourth Proportional to 397,286.50, 548,271.28 and 215,997.86

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Solution

The fourth proportional to 397,286.50, 548,271.28 and 215,997.86 is: 298,085.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,286.50 : 548,271.28 = 215,997.86 : x
  2. Step 2: Convert to fraction form
    397,286.50/548,271.28 = 215,997.86/x
  3. Step 3: Cross multiply
    397,286.50x = 548,271.28 × 215,997.86
  4. Step 4: Simplify right side
    397,286.50x = 118,425,423,179.46
  5. Step 5: Solve for x
    x = 118,425,423,179.46/397,286.50
  6. Step 6: Final answer
    x = 298,085.70

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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.