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Finding the Fourth Proportional to 412,215.60, 618,323.40 and 146,003.03

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Solution

The fourth proportional to 412,215.60, 618,323.40 and 146,003.03 is: 219,004.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,215.60 : 618,323.40 = 146,003.03 : x
  2. Step 2: Convert to fraction form
    412,215.60/618,323.40 = 146,003.03/x
  3. Step 3: Cross multiply
    412,215.60x = 618,323.40 × 146,003.03
  4. Step 4: Simplify right side
    412,215.60x = 90,277,086,828.29
  5. Step 5: Solve for x
    x = 90,277,086,828.29/412,215.60
  6. Step 6: Final answer
    x = 219,004.54

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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.