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Finding the Fourth Proportional to 327,645,697.60, 490,830,817.20 and 181,818,287.20

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Solution

The fourth proportional to 327,645,697.60, 490,830,817.20 and 181,818,287.20 is: 272,373,539.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,645,697.60 : 490,830,817.20 = 181,818,287.20 : x
  2. Step 2: Convert to fraction form
    327,645,697.60/490,830,817.20 = 181,818,287.20/x
  3. Step 3: Cross multiply
    327,645,697.60x = 490,830,817.20 × 181,818,287.20
  4. Step 4: Simplify right side
    327,645,697.60x = 89,242,018,488,280,288
  5. Step 5: Solve for x
    x = 89,242,018,488,280,288/327,645,697.60
  6. Step 6: Final answer
    x = 272,373,539.90

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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.