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Finding the Fourth Proportional to 896,857,892.70, 1,345,286,839.05 and 822,030,999.90

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Solution

The fourth proportional to 896,857,892.70, 1,345,286,839.05 and 822,030,999.90 is: 1,233,046,499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,857,892.70 : 1,345,286,839.05 = 822,030,999.90 : x
  2. Step 2: Convert to fraction form
    896,857,892.70/1,345,286,839.05 = 822,030,999.90/x
  3. Step 3: Cross multiply
    896,857,892.70x = 1,345,286,839.05 × 822,030,999.90
  4. Step 4: Simplify right side
    896,857,892.70x = 1,105,867,485,456,581,760
  5. Step 5: Solve for x
    x = 1,105,867,485,456,581,760/896,857,892.70
  6. Step 6: Final answer
    x = 1,233,046,499.85

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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.