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Finding the Fourth Proportional to 978,383,942.84, 1,465,724,204.85 and 578,344,855.34

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Solution

The fourth proportional to 978,383,942.84, 1,465,724,204.85 and 578,344,855.34 is: 866,422,695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,383,942.84 : 1,465,724,204.85 = 578,344,855.34 : x
  2. Step 2: Convert to fraction form
    978,383,942.84/1,465,724,204.85 = 578,344,855.34/x
  3. Step 3: Cross multiply
    978,383,942.84x = 1,465,724,204.85 × 578,344,855.34
  4. Step 4: Simplify right side
    978,383,942.84x = 847,694,053,222,309,760
  5. Step 5: Solve for x
    x = 847,694,053,222,309,760/978,383,942.84
  6. Step 6: Final answer
    x = 866,422,695.74

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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.