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Finding the Fourth Proportional to 381,326.33, 571,649.60 and 144,835.09

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Solution

The fourth proportional to 381,326.33, 571,649.60 and 144,835.09 is: 217,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,326.33 : 571,649.60 = 144,835.09 : x
  2. Step 2: Convert to fraction form
    381,326.33/571,649.60 = 144,835.09/x
  3. Step 3: Cross multiply
    381,326.33x = 571,649.60 × 144,835.09
  4. Step 4: Simplify right side
    381,326.33x = 82,794,920,197.43
  5. Step 5: Solve for x
    x = 82,794,920,197.43/381,326.33
  6. Step 6: Final answer
    x = 217,123.53

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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.