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Finding the Fourth Proportional to 412,902.60, 619,742.70 and 255,438.60

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Solution

The fourth proportional to 412,902.60, 619,742.70 and 255,438.60 is: 383,398.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,902.60 : 619,742.70 = 255,438.60 : x
  2. Step 2: Convert to fraction form
    412,902.60/619,742.70 = 255,438.60/x
  3. Step 3: Cross multiply
    412,902.60x = 619,742.70 × 255,438.60
  4. Step 4: Simplify right side
    412,902.60x = 158,306,207,648.22
  5. Step 5: Solve for x
    x = 158,306,207,648.22/412,902.60
  6. Step 6: Final answer
    x = 383,398.43

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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.