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Finding the Fourth Proportional to 442,681,978.80, 664,022,968.20 and 259,015,969.20

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Solution

The fourth proportional to 442,681,978.80, 664,022,968.20 and 259,015,969.20 is: 388,523,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,681,978.80 : 664,022,968.20 = 259,015,969.20 : x
  2. Step 2: Convert to fraction form
    442,681,978.80/664,022,968.20 = 259,015,969.20/x
  3. Step 3: Cross multiply
    442,681,978.80x = 664,022,968.20 × 259,015,969.20
  4. Step 4: Simplify right side
    442,681,978.80x = 171,992,552,679,383,776
  5. Step 5: Solve for x
    x = 171,992,552,679,383,776/442,681,978.80
  6. Step 6: Final answer
    x = 388,523,953.80

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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.