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Finding the Fourth Proportional to 269,951,891.50, 404,996,888.13 and 78,475,667.50

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Solution

The fourth proportional to 269,951,891.50, 404,996,888.13 and 78,475,667.50 is: 117,733,574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,951,891.50 : 404,996,888.13 = 78,475,667.50 : x
  2. Step 2: Convert to fraction form
    269,951,891.50/404,996,888.13 = 78,475,667.50/x
  3. Step 3: Cross multiply
    269,951,891.50x = 404,996,888.13 × 78,475,667.50
  4. Step 4: Simplify right side
    269,951,891.50x = 31,782,401,131,424,576
  5. Step 5: Solve for x
    x = 31,782,401,131,424,576/269,951,891.50
  6. Step 6: Final answer
    x = 117,733,574.51

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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.