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Finding the Fourth Proportional to 442,873,168.40, 664,309,752.60 and 258,451,331.60

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Solution

The fourth proportional to 442,873,168.40, 664,309,752.60 and 258,451,331.60 is: 387,676,997.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,873,168.40 : 664,309,752.60 = 258,451,331.60 : x
  2. Step 2: Convert to fraction form
    442,873,168.40/664,309,752.60 = 258,451,331.60/x
  3. Step 3: Cross multiply
    442,873,168.40x = 664,309,752.60 × 258,451,331.60
  4. Step 4: Simplify right side
    442,873,168.40x = 171,691,740,154,336,576
  5. Step 5: Solve for x
    x = 171,691,740,154,336,576/442,873,168.40
  6. Step 6: Final answer
    x = 387,676,997.40

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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.