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Finding the Fourth Proportional to 269,951,905, 404,996,908.40 and 78,475,681

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Solution

The fourth proportional to 269,951,905, 404,996,908.40 and 78,475,681 is: 117,733,594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,951,905 : 404,996,908.40 = 78,475,681 : x
  2. Step 2: Convert to fraction form
    269,951,905/404,996,908.40 = 78,475,681/x
  3. Step 3: Cross multiply
    269,951,905x = 404,996,908.40 × 78,475,681
  4. Step 4: Simplify right side
    269,951,905x = 31,782,408,189,584,620
  5. Step 5: Solve for x
    x = 31,782,408,189,584,620/269,951,905
  6. Step 6: Final answer
    x = 117,733,594.77

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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.