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Finding the Fourth Proportional to 284,079.72, 426,282.39 and 115,568.94

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Solution

The fourth proportional to 284,079.72, 426,282.39 and 115,568.94 is: 173,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,079.72 : 426,282.39 = 115,568.94 : x
  2. Step 2: Convert to fraction form
    284,079.72/426,282.39 = 115,568.94/x
  3. Step 3: Cross multiply
    284,079.72x = 426,282.39 × 115,568.94
  4. Step 4: Simplify right side
    284,079.72x = 49,265,003,952.97
  5. Step 5: Solve for x
    x = 49,265,003,952.97/284,079.72
  6. Step 6: Final answer
    x = 173,419.64

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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.