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Finding the Fourth Proportional to 412,855.59, 619,134.81 and 142,910.38

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Solution

The fourth proportional to 412,855.59, 619,134.81 and 142,910.38 is: 214,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,855.59 : 619,134.81 = 142,910.38 : x
  2. Step 2: Convert to fraction form
    412,855.59/619,134.81 = 142,910.38/x
  3. Step 3: Cross multiply
    412,855.59x = 619,134.81 × 142,910.38
  4. Step 4: Simplify right side
    412,855.59x = 88,480,790,637.12
  5. Step 5: Solve for x
    x = 88,480,790,637.12/412,855.59
  6. Step 6: Final answer
    x = 214,314.14

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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.