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Finding the Fourth Proportional to 284,021.25, 426,035.12 and 73,646.43

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Solution

The fourth proportional to 284,021.25, 426,035.12 and 73,646.43 is: 110,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,021.25 : 426,035.12 = 73,646.43 : x
  2. Step 2: Convert to fraction form
    284,021.25/426,035.12 = 73,646.43/x
  3. Step 3: Cross multiply
    284,021.25x = 426,035.12 × 73,646.43
  4. Step 4: Simplify right side
    284,021.25x = 31,375,965,274.39
  5. Step 5: Solve for x
    x = 31,375,965,274.39/284,021.25
  6. Step 6: Final answer
    x = 110,470.49

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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.