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Finding the Fourth Proportional to 412,455.60, 619,259.40 and 263,617.20

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Solution

The fourth proportional to 412,455.60, 619,259.40 and 263,617.20 is: 395,793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,455.60 : 619,259.40 = 263,617.20 : x
  2. Step 2: Convert to fraction form
    412,455.60/619,259.40 = 263,617.20/x
  3. Step 3: Cross multiply
    412,455.60x = 619,259.40 × 263,617.20
  4. Step 4: Simplify right side
    412,455.60x = 163,247,429,101.68
  5. Step 5: Solve for x
    x = 163,247,429,101.68/412,455.60
  6. Step 6: Final answer
    x = 395,793.95

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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.