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Finding the Fourth Proportional to 998,862,512.80, 1,498,293,769.20 and 978,455,178.40

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Solution

The fourth proportional to 998,862,512.80, 1,498,293,769.20 and 978,455,178.40 is: 1,467,682,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,862,512.80 : 1,498,293,769.20 = 978,455,178.40 : x
  2. Step 2: Convert to fraction form
    998,862,512.80/1,498,293,769.20 = 978,455,178.40/x
  3. Step 3: Cross multiply
    998,862,512.80x = 1,498,293,769.20 × 978,455,178.40
  4. Step 4: Simplify right side
    998,862,512.80x = 1,466,013,297,238,194,432
  5. Step 5: Solve for x
    x = 1,466,013,297,238,194,432/998,862,512.80
  6. Step 6: Final answer
    x = 1,467,682,767.60

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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.