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Finding the Fourth Proportional to 269,951,903, 404,996,905.40 and 78,475,679

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Solution

The fourth proportional to 269,951,903, 404,996,905.40 and 78,475,679 is: 117,733,591.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,951,903 : 404,996,905.40 = 78,475,679 : x
  2. Step 2: Convert to fraction form
    269,951,903/404,996,905.40 = 78,475,679/x
  3. Step 3: Cross multiply
    269,951,903x = 404,996,905.40 × 78,475,679
  4. Step 4: Simplify right side
    269,951,903x = 31,782,407,144,163,764
  5. Step 5: Solve for x
    x = 31,782,407,144,163,764/269,951,903
  6. Step 6: Final answer
    x = 117,733,591.77

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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.