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Finding the Fourth Proportional to 978,904,026.80, 1,468,356,040.20 and 897,274,689.20

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Solution

The fourth proportional to 978,904,026.80, 1,468,356,040.20 and 897,274,689.20 is: 1,345,912,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,904,026.80 : 1,468,356,040.20 = 897,274,689.20 : x
  2. Step 2: Convert to fraction form
    978,904,026.80/1,468,356,040.20 = 897,274,689.20/x
  3. Step 3: Cross multiply
    978,904,026.80x = 1,468,356,040.20 × 897,274,689.20
  4. Step 4: Simplify right side
    978,904,026.80x = 1,317,518,709,605,397,760
  5. Step 5: Solve for x
    x = 1,317,518,709,605,397,760/978,904,026.80
  6. Step 6: Final answer
    x = 1,345,912,033.80

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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.