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Finding the Fourth Proportional to 407,949,620.80, 611,924,431.20 and 327,328,052.80

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Solution

The fourth proportional to 407,949,620.80, 611,924,431.20 and 327,328,052.80 is: 490,992,079.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,949,620.80 : 611,924,431.20 = 327,328,052.80 : x
  2. Step 2: Convert to fraction form
    407,949,620.80/611,924,431.20 = 327,328,052.80/x
  3. Step 3: Cross multiply
    407,949,620.80x = 611,924,431.20 × 327,328,052.80
  4. Step 4: Simplify right side
    407,949,620.80x = 200,300,032,525,443,584
  5. Step 5: Solve for x
    x = 200,300,032,525,443,584/407,949,620.80
  6. Step 6: Final answer
    x = 490,992,079.20

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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.