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Finding the Fourth Proportional to 422,951,069.16, 634,430,980.44 and 127,848,639.66

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Solution

The fourth proportional to 422,951,069.16, 634,430,980.44 and 127,848,639.66 is: 191,774,282.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,951,069.16 : 634,430,980.44 = 127,848,639.66 : x
  2. Step 2: Convert to fraction form
    422,951,069.16/634,430,980.44 = 127,848,639.66/x
  3. Step 3: Cross multiply
    422,951,069.16x = 634,430,980.44 × 127,848,639.66
  4. Step 4: Simplify right side
    422,951,069.16x = 81,111,137,807,414,080
  5. Step 5: Solve for x
    x = 81,111,137,807,414,080/422,951,069.16
  6. Step 6: Final answer
    x = 191,774,282.47

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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.