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Finding the Fourth Proportional to 412,855.42, 619,134.51 and 142,910.21

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Solution

The fourth proportional to 412,855.42, 619,134.51 and 142,910.21 is: 214,313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,855.42 : 619,134.51 = 142,910.21 : x
  2. Step 2: Convert to fraction form
    412,855.42/619,134.51 = 142,910.21/x
  3. Step 3: Cross multiply
    412,855.42x = 619,134.51 × 142,910.21
  4. Step 4: Simplify right side
    412,855.42x = 88,480,639,746.67
  5. Step 5: Solve for x
    x = 88,480,639,746.67/412,855.42
  6. Step 6: Final answer
    x = 214,313.87

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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.