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Finding the Fourth Proportional to 978,383,868.80, 1,465,724,093.85 and 578,344,781.43

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Solution

The fourth proportional to 978,383,868.80, 1,465,724,093.85 and 578,344,781.43 is: 866,422,584.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,383,868.80 : 1,465,724,093.85 = 578,344,781.43 : x
  2. Step 2: Convert to fraction form
    978,383,868.80/1,465,724,093.85 = 578,344,781.43/x
  3. Step 3: Cross multiply
    978,383,868.80x = 1,465,724,093.85 × 578,344,781.43
  4. Step 4: Simplify right side
    978,383,868.80x = 847,693,880,694,362,880
  5. Step 5: Solve for x
    x = 847,693,880,694,362,880/978,383,868.80
  6. Step 6: Final answer
    x = 866,422,584.97

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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.