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Finding the Fourth Proportional to 1,638,504,304.43, 2,260,699,978.34 and 933,641,261.15

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Solution

The fourth proportional to 1,638,504,304.43, 2,260,699,978.34 and 933,641,261.15 is: 1,288,176,523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,504,304.43 : 2,260,699,978.34 = 933,641,261.15 : x
  2. Step 2: Convert to fraction form
    1,638,504,304.43/2,260,699,978.34 = 933,641,261.15/x
  3. Step 3: Cross multiply
    1,638,504,304.43x = 2,260,699,978.34 × 933,641,261.15
  4. Step 4: Simplify right side
    1,638,504,304.43x = 2,110,682,778,850,166,016
  5. Step 5: Solve for x
    x = 2,110,682,778,850,166,016/1,638,504,304.43
  6. Step 6: Final answer
    x = 1,288,176,523.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.