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Finding the Fourth Proportional to 412,268.46, 618,009.02 and 131,603.46

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Solution

The fourth proportional to 412,268.46, 618,009.02 and 131,603.46 is: 197,279.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,268.46 : 618,009.02 = 131,603.46 : x
  2. Step 2: Convert to fraction form
    412,268.46/618,009.02 = 131,603.46/x
  3. Step 3: Cross multiply
    412,268.46x = 618,009.02 × 131,603.46
  4. Step 4: Simplify right side
    412,268.46x = 81,332,125,343.21
  5. Step 5: Solve for x
    x = 81,332,125,343.21/412,268.46
  6. Step 6: Final answer
    x = 197,279.52

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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.