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Finding the Fourth Proportional to 412,043.10, 618,160.48 and 127,718.56

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Solution

The fourth proportional to 412,043.10, 618,160.48 and 127,718.56 is: 191,607.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,043.10 : 618,160.48 = 127,718.56 : x
  2. Step 2: Convert to fraction form
    412,043.10/618,160.48 = 127,718.56/x
  3. Step 3: Cross multiply
    412,043.10x = 618,160.48 × 127,718.56
  4. Step 4: Simplify right side
    412,043.10x = 78,950,566,354.51
  5. Step 5: Solve for x
    x = 78,950,566,354.51/412,043.10
  6. Step 6: Final answer
    x = 191,607.54

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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.