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Finding the Fourth Proportional to 412,933.68, 618,878.34 and 235,540.98

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Solution

The fourth proportional to 412,933.68, 618,878.34 and 235,540.98 is: 353,013.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,933.68 : 618,878.34 = 235,540.98 : x
  2. Step 2: Convert to fraction form
    412,933.68/618,878.34 = 235,540.98/x
  3. Step 3: Cross multiply
    412,933.68x = 618,878.34 × 235,540.98
  4. Step 4: Simplify right side
    412,933.68x = 145,771,210,704.37
  5. Step 5: Solve for x
    x = 145,771,210,704.37/412,933.68
  6. Step 6: Final answer
    x = 353,013.61

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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.