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Finding the Fourth Proportional to 280,286.61, 420,179.87 and 102,752.16

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Solution

The fourth proportional to 280,286.61, 420,179.87 and 102,752.16 is: 154,036.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,286.61 : 420,179.87 = 102,752.16 : x
  2. Step 2: Convert to fraction form
    280,286.61/420,179.87 = 102,752.16/x
  3. Step 3: Cross multiply
    280,286.61x = 420,179.87 × 102,752.16
  4. Step 4: Simplify right side
    280,286.61x = 43,174,388,717.26
  5. Step 5: Solve for x
    x = 43,174,388,717.26/280,286.61
  6. Step 6: Final answer
    x = 154,036.57

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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.