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Finding the Fourth Proportional to 422,889,969.40, 634,334,954.10 and 394,192,155.40

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Solution

The fourth proportional to 422,889,969.40, 634,334,954.10 and 394,192,155.40 is: 591,288,233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,889,969.40 : 634,334,954.10 = 394,192,155.40 : x
  2. Step 2: Convert to fraction form
    422,889,969.40/634,334,954.10 = 394,192,155.40/x
  3. Step 3: Cross multiply
    422,889,969.40x = 634,334,954.10 × 394,192,155.40
  4. Step 4: Simplify right side
    422,889,969.40x = 250,049,862,802,239,072
  5. Step 5: Solve for x
    x = 250,049,862,802,239,072/422,889,969.40
  6. Step 6: Final answer
    x = 591,288,233.10

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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.