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Finding the Fourth Proportional to 284,643.72, 427,026.60 and 84,979.80

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Solution

The fourth proportional to 284,643.72, 427,026.60 and 84,979.80 is: 127,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,643.72 : 427,026.60 = 84,979.80 : x
  2. Step 2: Convert to fraction form
    284,643.72/427,026.60 = 84,979.80/x
  3. Step 3: Cross multiply
    284,643.72x = 427,026.60 × 84,979.80
  4. Step 4: Simplify right side
    284,643.72x = 36,288,635,062.68
  5. Step 5: Solve for x
    x = 36,288,635,062.68/284,643.72
  6. Step 6: Final answer
    x = 127,487.92

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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.