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Finding the Fourth Proportional to 378,588, 567,715.68 and 141,764.55

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Solution

The fourth proportional to 378,588, 567,715.68 and 141,764.55 is: 212,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,588 : 567,715.68 = 141,764.55 : x
  2. Step 2: Convert to fraction form
    378,588/567,715.68 = 141,764.55/x
  3. Step 3: Cross multiply
    378,588x = 567,715.68 × 141,764.55
  4. Step 4: Simplify right side
    378,588x = 80,481,957,903.14
  5. Step 5: Solve for x
    x = 80,481,957,903.14/378,588
  6. Step 6: Final answer
    x = 212,584.55

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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.