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Finding the Fourth Proportional to 407,949,411.80, 611,924,117.70 and 327,327,843.80

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Solution

The fourth proportional to 407,949,411.80, 611,924,117.70 and 327,327,843.80 is: 490,991,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,949,411.80 : 611,924,117.70 = 327,327,843.80 : x
  2. Step 2: Convert to fraction form
    407,949,411.80/611,924,117.70 = 327,327,843.80/x
  3. Step 3: Cross multiply
    407,949,411.80x = 611,924,117.70 × 327,327,843.80
  4. Step 4: Simplify right side
    407,949,411.80x = 200,299,802,015,958,432
  5. Step 5: Solve for x
    x = 200,299,802,015,958,432/407,949,411.80
  6. Step 6: Final answer
    x = 490,991,765.70

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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.