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Finding the Fourth Proportional to 412,032.43, 618,145.08 and 127,708.12

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Solution

The fourth proportional to 412,032.43, 618,145.08 and 127,708.12 is: 191,592.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,032.43 : 618,145.08 = 127,708.12 : x
  2. Step 2: Convert to fraction form
    412,032.43/618,145.08 = 127,708.12/x
  3. Step 3: Cross multiply
    412,032.43x = 618,145.08 × 127,708.12
  4. Step 4: Simplify right side
    412,032.43x = 78,942,146,054.05
  5. Step 5: Solve for x
    x = 78,942,146,054.05/412,032.43
  6. Step 6: Final answer
    x = 191,592.07

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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.