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Finding the Fourth Proportional to 409,097.94, 613,745.31 and 128,614.98

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Solution

The fourth proportional to 409,097.94, 613,745.31 and 128,614.98 is: 192,953.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,097.94 : 613,745.31 = 128,614.98 : x
  2. Step 2: Convert to fraction form
    409,097.94/613,745.31 = 128,614.98/x
  3. Step 3: Cross multiply
    409,097.94x = 613,745.31 × 128,614.98
  4. Step 4: Simplify right side
    409,097.94x = 78,936,840,770.74
  5. Step 5: Solve for x
    x = 78,936,840,770.74/409,097.94
  6. Step 6: Final answer
    x = 192,953.41

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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.