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Finding the Fourth Proportional to 996,659,619.90, 1,494,989,429.85 and 478,965,227.10

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Solution

The fourth proportional to 996,659,619.90, 1,494,989,429.85 and 478,965,227.10 is: 718,447,840.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,659,619.90 : 1,494,989,429.85 = 478,965,227.10 : x
  2. Step 2: Convert to fraction form
    996,659,619.90/1,494,989,429.85 = 478,965,227.10/x
  3. Step 3: Cross multiply
    996,659,619.90x = 1,494,989,429.85 × 478,965,227.10
  4. Step 4: Simplify right side
    996,659,619.90x = 716,047,951,780,204,800
  5. Step 5: Solve for x
    x = 716,047,951,780,204,800/996,659,619.90
  6. Step 6: Final answer
    x = 718,447,840.65

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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.