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Finding the Fourth Proportional to 1,322,573,978.86, 1,985,086,788.62 and 667,984,698.32

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Solution

The fourth proportional to 1,322,573,978.86, 1,985,086,788.62 and 667,984,698.32 is: 1,002,596,165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322,573,978.86 : 1,985,086,788.62 = 667,984,698.32 : x
  2. Step 2: Convert to fraction form
    1,322,573,978.86/1,985,086,788.62 = 667,984,698.32/x
  3. Step 3: Cross multiply
    1,322,573,978.86x = 1,985,086,788.62 × 667,984,698.32
  4. Step 4: Simplify right side
    1,322,573,978.86x = 1,326,007,599,622,083,072
  5. Step 5: Solve for x
    x = 1,326,007,599,622,083,072/1,322,573,978.86
  6. Step 6: Final answer
    x = 1,002,596,165.37

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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.