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Finding the Fourth Proportional to 270,919.40, 405,687.90 and 215,623.40

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Solution

The fourth proportional to 270,919.40, 405,687.90 and 215,623.40 is: 322,884.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,919.40 : 405,687.90 = 215,623.40 : x
  2. Step 2: Convert to fraction form
    270,919.40/405,687.90 = 215,623.40/x
  3. Step 3: Cross multiply
    270,919.40x = 405,687.90 × 215,623.40
  4. Step 4: Simplify right side
    270,919.40x = 87,475,804,336.86
  5. Step 5: Solve for x
    x = 87,475,804,336.86/270,919.40
  6. Step 6: Final answer
    x = 322,884.98

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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.