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Finding the Fourth Proportional to 412,856.48, 619,136.15 and 142,911.27

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Solution

The fourth proportional to 412,856.48, 619,136.15 and 142,911.27 is: 214,315.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,856.48 : 619,136.15 = 142,911.27 : x
  2. Step 2: Convert to fraction form
    412,856.48/619,136.15 = 142,911.27/x
  3. Step 3: Cross multiply
    412,856.48x = 619,136.15 × 142,911.27
  4. Step 4: Simplify right side
    412,856.48x = 88,481,536,118.81
  5. Step 5: Solve for x
    x = 88,481,536,118.81/412,856.48
  6. Step 6: Final answer
    x = 214,315.48

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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.