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Finding the Fourth Proportional to 383,146.68, 528,758.82 and 213,380.80

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Solution

The fourth proportional to 383,146.68, 528,758.82 and 213,380.80 is: 294,474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,146.68 : 528,758.82 = 213,380.80 : x
  2. Step 2: Convert to fraction form
    383,146.68/528,758.82 = 213,380.80/x
  3. Step 3: Cross multiply
    383,146.68x = 528,758.82 × 213,380.80
  4. Step 4: Simplify right side
    383,146.68x = 112,826,978,951.75
  5. Step 5: Solve for x
    x = 112,826,978,951.75/383,146.68
  6. Step 6: Final answer
    x = 294,474.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.