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Finding the Fourth Proportional to 1,319,619,858.90, 1,978,925,903.55 and 399,190,290.90

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Solution

The fourth proportional to 1,319,619,858.90, 1,978,925,903.55 and 399,190,290.90 is: 598,633,009.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319,619,858.90 : 1,978,925,903.55 = 399,190,290.90 : x
  2. Step 2: Convert to fraction form
    1,319,619,858.90/1,978,925,903.55 = 399,190,290.90/x
  3. Step 3: Cross multiply
    1,319,619,858.90x = 1,978,925,903.55 × 399,190,290.90
  4. Step 4: Simplify right side
    1,319,619,858.90x = 789,968,007,107,669,760
  5. Step 5: Solve for x
    x = 789,968,007,107,669,760/1,319,619,858.90
  6. Step 6: Final answer
    x = 598,633,009.18

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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.