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Finding the Fourth Proportional to 412,202.35, 618,362.21 and 127,917.47

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Solution

The fourth proportional to 412,202.35, 618,362.21 and 127,917.47 is: 191,894.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,202.35 : 618,362.21 = 127,917.47 : x
  2. Step 2: Convert to fraction form
    412,202.35/618,362.21 = 127,917.47/x
  3. Step 3: Cross multiply
    412,202.35x = 618,362.21 × 127,917.47
  4. Step 4: Simplify right side
    412,202.35x = 79,099,326,355.00
  5. Step 5: Solve for x
    x = 79,099,326,355.00/412,202.35
  6. Step 6: Final answer
    x = 191,894.41

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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.