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Finding the Fourth Proportional to 225,690.80, 311,311.68 and 145,222.88

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Solution

The fourth proportional to 225,690.80, 311,311.68 and 145,222.88 is: 200,316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,690.80 : 311,311.68 = 145,222.88 : x
  2. Step 2: Convert to fraction form
    225,690.80/311,311.68 = 145,222.88/x
  3. Step 3: Cross multiply
    225,690.80x = 311,311.68 × 145,222.88
  4. Step 4: Simplify right side
    225,690.80x = 45,209,578,747.24
  5. Step 5: Solve for x
    x = 45,209,578,747.24/225,690.80
  6. Step 6: Final answer
    x = 200,316.45

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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.