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Finding the Fourth Proportional to 978,925,411.27, 1,467,406,299.25 and 454,662,690.20

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Solution

The fourth proportional to 978,925,411.27, 1,467,406,299.25 and 454,662,690.20 is: 681,538,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,925,411.27 : 1,467,406,299.25 = 454,662,690.20 : x
  2. Step 2: Convert to fraction form
    978,925,411.27/1,467,406,299.25 = 454,662,690.20/x
  3. Step 3: Cross multiply
    978,925,411.27x = 1,467,406,299.25 × 454,662,690.20
  4. Step 4: Simplify right side
    978,925,411.27x = 667,174,895,632,188,160
  5. Step 5: Solve for x
    x = 667,174,895,632,188,160/978,925,411.27
  6. Step 6: Final answer
    x = 681,538,029.30

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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.