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Finding the Fourth Proportional to 280,758.48, 387,322.32 and 167,515.44

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Solution

The fourth proportional to 280,758.48, 387,322.32 and 167,515.44 is: 231,097.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,758.48 : 387,322.32 = 167,515.44 : x
  2. Step 2: Convert to fraction form
    280,758.48/387,322.32 = 167,515.44/x
  3. Step 3: Cross multiply
    280,758.48x = 387,322.32 × 167,515.44
  4. Step 4: Simplify right side
    280,758.48x = 64,882,468,856.62
  5. Step 5: Solve for x
    x = 64,882,468,856.62/280,758.48
  6. Step 6: Final answer
    x = 231,097.09

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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.