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Finding the Fourth Proportional to 412,046.60, 618,165.74 and 127,722.06

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Solution

The fourth proportional to 412,046.60, 618,165.74 and 127,722.06 is: 191,612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,046.60 : 618,165.74 = 127,722.06 : x
  2. Step 2: Convert to fraction form
    412,046.60/618,165.74 = 127,722.06/x
  3. Step 3: Cross multiply
    412,046.60x = 618,165.74 × 127,722.06
  4. Step 4: Simplify right side
    412,046.60x = 78,953,401,734.22
  5. Step 5: Solve for x
    x = 78,953,401,734.22/412,046.60
  6. Step 6: Final answer
    x = 191,612.80

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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.