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Finding the Fourth Proportional to 310,100.08, 427,984.95 and 189,311.80

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Solution

The fourth proportional to 310,100.08, 427,984.95 and 189,311.80 is: 261,278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,100.08 : 427,984.95 = 189,311.80 : x
  2. Step 2: Convert to fraction form
    310,100.08/427,984.95 = 189,311.80/x
  3. Step 3: Cross multiply
    310,100.08x = 427,984.95 × 189,311.80
  4. Step 4: Simplify right side
    310,100.08x = 81,022,601,257.41
  5. Step 5: Solve for x
    x = 81,022,601,257.41/310,100.08
  6. Step 6: Final answer
    x = 261,278.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.