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Finding the Fourth Proportional to 284,071.68, 426,165.84 and 84,374.28

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Solution

The fourth proportional to 284,071.68, 426,165.84 and 84,374.28 is: 126,578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,071.68 : 426,165.84 = 84,374.28 : x
  2. Step 2: Convert to fraction form
    284,071.68/426,165.84 = 84,374.28/x
  3. Step 3: Cross multiply
    284,071.68x = 426,165.84 × 84,374.28
  4. Step 4: Simplify right side
    284,071.68x = 35,957,435,910.60
  5. Step 5: Solve for x
    x = 35,957,435,910.60/284,071.68
  6. Step 6: Final answer
    x = 126,578.74

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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.