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Finding the Fourth Proportional to 412,665.94, 618,984.33 and 113,141.71

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Solution

The fourth proportional to 412,665.94, 618,984.33 and 113,141.71 is: 169,708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,665.94 : 618,984.33 = 113,141.71 : x
  2. Step 2: Convert to fraction form
    412,665.94/618,984.33 = 113,141.71/x
  3. Step 3: Cross multiply
    412,665.94x = 618,984.33 × 113,141.71
  4. Step 4: Simplify right side
    412,665.94x = 70,032,946,545.28
  5. Step 5: Solve for x
    x = 70,032,946,545.28/412,665.94
  6. Step 6: Final answer
    x = 169,708.57

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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.