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Finding the Fourth Proportional to 305,252.64, 457,849.80 and 186,863.04

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Solution

The fourth proportional to 305,252.64, 457,849.80 and 186,863.04 is: 280,276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,252.64 : 457,849.80 = 186,863.04 : x
  2. Step 2: Convert to fraction form
    305,252.64/457,849.80 = 186,863.04/x
  3. Step 3: Cross multiply
    305,252.64x = 457,849.80 × 186,863.04
  4. Step 4: Simplify right side
    305,252.64x = 85,555,205,491.39
  5. Step 5: Solve for x
    x = 85,555,205,491.39/305,252.64
  6. Step 6: Final answer
    x = 280,276.71

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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.