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Finding the Fourth Proportional to 225,700.56, 311,318.64 and 145,000.80

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Solution

The fourth proportional to 225,700.56, 311,318.64 and 145,000.80 is: 200,005.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,700.56 : 311,318.64 = 145,000.80 : x
  2. Step 2: Convert to fraction form
    225,700.56/311,318.64 = 145,000.80/x
  3. Step 3: Cross multiply
    225,700.56x = 311,318.64 × 145,000.80
  4. Step 4: Simplify right side
    225,700.56x = 45,141,451,854.91
  5. Step 5: Solve for x
    x = 45,141,451,854.91/225,700.56
  6. Step 6: Final answer
    x = 200,005.94

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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.