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Finding the Fourth Proportional to 412,135.60, 618,044.64 and 145,846.48

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Solution

The fourth proportional to 412,135.60, 618,044.64 and 145,846.48 is: 218,713.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,135.60 : 618,044.64 = 145,846.48 : x
  2. Step 2: Convert to fraction form
    412,135.60/618,044.64 = 145,846.48/x
  3. Step 3: Cross multiply
    412,135.60x = 618,044.64 × 145,846.48
  4. Step 4: Simplify right side
    412,135.60x = 90,139,635,226.87
  5. Step 5: Solve for x
    x = 90,139,635,226.87/412,135.60
  6. Step 6: Final answer
    x = 218,713.54

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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.