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Finding the Fourth Proportional to 409,105.92, 613,644.30 and 142,865.40

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Solution

The fourth proportional to 409,105.92, 613,644.30 and 142,865.40 is: 214,293.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,105.92 : 613,644.30 = 142,865.40 : x
  2. Step 2: Convert to fraction form
    409,105.92/613,644.30 = 142,865.40/x
  3. Step 3: Cross multiply
    409,105.92x = 613,644.30 × 142,865.40
  4. Step 4: Simplify right side
    409,105.92x = 87,668,538,377.22
  5. Step 5: Solve for x
    x = 87,668,538,377.22/409,105.92
  6. Step 6: Final answer
    x = 214,293.01

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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.