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Finding the Fourth Proportional to 284,801.94, 427,198.77 and 85,117.86

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Solution

The fourth proportional to 284,801.94, 427,198.77 and 85,117.86 is: 127,675.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,801.94 : 427,198.77 = 85,117.86 : x
  2. Step 2: Convert to fraction form
    284,801.94/427,198.77 = 85,117.86/x
  3. Step 3: Cross multiply
    284,801.94x = 427,198.77 × 85,117.86
  4. Step 4: Simplify right side
    284,801.94x = 36,362,245,097.03
  5. Step 5: Solve for x
    x = 36,362,245,097.03/284,801.94
  6. Step 6: Final answer
    x = 127,675.55

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1.5x scale

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.