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Finding the Fourth Proportional to 284,071.43, 426,165.47 and 84,374.03

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Solution

The fourth proportional to 284,071.43, 426,165.47 and 84,374.03 is: 126,578.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,071.43 : 426,165.47 = 84,374.03 : x
  2. Step 2: Convert to fraction form
    284,071.43/426,165.47 = 84,374.03/x
  3. Step 3: Cross multiply
    284,071.43x = 426,165.47 × 84,374.03
  4. Step 4: Simplify right side
    284,071.43x = 35,957,297,728.87
  5. Step 5: Solve for x
    x = 35,957,297,728.87/284,071.43
  6. Step 6: Final answer
    x = 126,578.37

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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.