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Finding the Fourth Proportional to 1,319,619,786.40, 1,978,925,794.80 and 399,190,218.40

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Solution

The fourth proportional to 1,319,619,786.40, 1,978,925,794.80 and 399,190,218.40 is: 598,632,900.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319,619,786.40 : 1,978,925,794.80 = 399,190,218.40 : x
  2. Step 2: Convert to fraction form
    1,319,619,786.40/1,978,925,794.80 = 399,190,218.40/x
  3. Step 3: Cross multiply
    1,319,619,786.40x = 1,978,925,794.80 × 399,190,218.40
  4. Step 4: Simplify right side
    1,319,619,786.40x = 789,967,820,223,605,504
  5. Step 5: Solve for x
    x = 789,967,820,223,605,504/1,319,619,786.40
  6. Step 6: Final answer
    x = 598,632,900.45

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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.