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Finding the Fourth Proportional to 215,067.40, 322,665.90 and 152,859.40

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Solution

The fourth proportional to 215,067.40, 322,665.90 and 152,859.40 is: 229,335.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,067.40 : 322,665.90 = 152,859.40 : x
  2. Step 2: Convert to fraction form
    215,067.40/322,665.90 = 152,859.40/x
  3. Step 3: Cross multiply
    215,067.40x = 322,665.90 × 152,859.40
  4. Step 4: Simplify right side
    215,067.40x = 49,322,515,874.46
  5. Step 5: Solve for x
    x = 49,322,515,874.46/215,067.40
  6. Step 6: Final answer
    x = 229,335.16

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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.