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Finding the Fourth Proportional to 284,556.80, 426,856.80 and 84,861.60

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Solution

The fourth proportional to 284,556.80, 426,856.80 and 84,861.60 is: 127,298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,556.80 : 426,856.80 = 84,861.60 : x
  2. Step 2: Convert to fraction form
    284,556.80/426,856.80 = 84,861.60/x
  3. Step 3: Cross multiply
    284,556.80x = 426,856.80 × 84,861.60
  4. Step 4: Simplify right side
    284,556.80x = 36,223,751,018.88
  5. Step 5: Solve for x
    x = 36,223,751,018.88/284,556.80
  6. Step 6: Final answer
    x = 127,298.84

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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.