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Finding the Fourth Proportional to 484,978.20, 727,467.30 and 442,987.80

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Solution

The fourth proportional to 484,978.20, 727,467.30 and 442,987.80 is: 664,481.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,978.20 : 727,467.30 = 442,987.80 : x
  2. Step 2: Convert to fraction form
    484,978.20/727,467.30 = 442,987.80/x
  3. Step 3: Cross multiply
    484,978.20x = 727,467.30 × 442,987.80
  4. Step 4: Simplify right side
    484,978.20x = 322,259,138,798.94
  5. Step 5: Solve for x
    x = 322,259,138,798.94/484,978.20
  6. Step 6: Final answer
    x = 664,481.70

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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.