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Finding the Fourth Proportional to 412,809.39, 619,302.96 and 128,493.90

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Solution

The fourth proportional to 412,809.39, 619,302.96 and 128,493.90 is: 192,768.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,809.39 : 619,302.96 = 128,493.90 : x
  2. Step 2: Convert to fraction form
    412,809.39/619,302.96 = 128,493.90/x
  3. Step 3: Cross multiply
    412,809.39x = 619,302.96 × 128,493.90
  4. Step 4: Simplify right side
    412,809.39x = 79,576,652,611.94
  5. Step 5: Solve for x
    x = 79,576,652,611.94/412,809.39
  6. Step 6: Final answer
    x = 192,768.51

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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.