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Finding the Fourth Proportional to 485,162,562.60, 727,743,843.90 and 472,407,978.60

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Solution

The fourth proportional to 485,162,562.60, 727,743,843.90 and 472,407,978.60 is: 708,611,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,162,562.60 : 727,743,843.90 = 472,407,978.60 : x
  2. Step 2: Convert to fraction form
    485,162,562.60/727,743,843.90 = 472,407,978.60/x
  3. Step 3: Cross multiply
    485,162,562.60x = 727,743,843.90 × 472,407,978.60
  4. Step 4: Simplify right side
    485,162,562.60x = 343,791,998,235,392,960
  5. Step 5: Solve for x
    x = 343,791,998,235,392,960/485,162,562.60
  6. Step 6: Final answer
    x = 708,611,967.90

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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.