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Finding the Fourth Proportional to 412,770.28, 619,113.92 and 113,280.96

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Solution

The fourth proportional to 412,770.28, 619,113.92 and 113,280.96 is: 169,910.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,770.28 : 619,113.92 = 113,280.96 : x
  2. Step 2: Convert to fraction form
    412,770.28/619,113.92 = 113,280.96/x
  3. Step 3: Cross multiply
    412,770.28x = 619,113.92 × 113,280.96
  4. Step 4: Simplify right side
    412,770.28x = 70,133,819,206.96
  5. Step 5: Solve for x
    x = 70,133,819,206.96/412,770.28
  6. Step 6: Final answer
    x = 169,910.05

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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.