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Finding the Fourth Proportional to 412,680.60, 619,020.90 and 355,599.90

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Solution

The fourth proportional to 412,680.60, 619,020.90 and 355,599.90 is: 533,399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,680.60 : 619,020.90 = 355,599.90 : x
  2. Step 2: Convert to fraction form
    412,680.60/619,020.90 = 355,599.90/x
  3. Step 3: Cross multiply
    412,680.60x = 619,020.90 × 355,599.90
  4. Step 4: Simplify right side
    412,680.60x = 220,123,770,137.91
  5. Step 5: Solve for x
    x = 220,123,770,137.91/412,680.60
  6. Step 6: Final answer
    x = 533,399.85

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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.