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Finding the Fourth Proportional to 284,099.07, 426,074.90 and 84,372.51

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Solution

The fourth proportional to 284,099.07, 426,074.90 and 84,372.51 is: 126,536.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,099.07 : 426,074.90 = 84,372.51 : x
  2. Step 2: Convert to fraction form
    284,099.07/426,074.90 = 84,372.51/x
  3. Step 3: Cross multiply
    284,099.07x = 426,074.90 × 84,372.51
  4. Step 4: Simplify right side
    284,099.07x = 35,949,008,339.14
  5. Step 5: Solve for x
    x = 35,949,008,339.14/284,099.07
  6. Step 6: Final answer
    x = 126,536.87

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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.