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Finding the Fourth Proportional to 474,491,991.90, 711,845,309.43 and 256,137,647.22

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Solution

The fourth proportional to 474,491,991.90, 711,845,309.43 and 256,137,647.22 is: 384,264,404.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,491,991.90 : 711,845,309.43 = 256,137,647.22 : x
  2. Step 2: Convert to fraction form
    474,491,991.90/711,845,309.43 = 256,137,647.22/x
  3. Step 3: Cross multiply
    474,491,991.90x = 711,845,309.43 × 256,137,647.22
  4. Step 4: Simplify right side
    474,491,991.90x = 182,330,382,741,993,056
  5. Step 5: Solve for x
    x = 182,330,382,741,993,056/474,491,991.90
  6. Step 6: Final answer
    x = 384,264,404.57

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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.