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Finding the Fourth Proportional to 284,023.42, 426,020.54 and 84,345.46

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Solution

The fourth proportional to 284,023.42, 426,020.54 and 84,345.46 is: 126,513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,023.42 : 426,020.54 = 84,345.46 : x
  2. Step 2: Convert to fraction form
    284,023.42/426,020.54 = 84,345.46/x
  3. Step 3: Cross multiply
    284,023.42x = 426,020.54 × 84,345.46
  4. Step 4: Simplify right side
    284,023.42x = 35,932,896,928.97
  5. Step 5: Solve for x
    x = 35,932,896,928.97/284,023.42
  6. Step 6: Final answer
    x = 126,513.85

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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.