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Finding the Fourth Proportional to 378,005.67, 567,012.69 and 161,835.30

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Solution

The fourth proportional to 378,005.67, 567,012.69 and 161,835.30 is: 242,754.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,005.67 : 567,012.69 = 161,835.30 : x
  2. Step 2: Convert to fraction form
    378,005.67/567,012.69 = 161,835.30/x
  3. Step 3: Cross multiply
    378,005.67x = 567,012.69 × 161,835.30
  4. Step 4: Simplify right side
    378,005.67x = 91,762,668,789.96
  5. Step 5: Solve for x
    x = 91,762,668,789.96/378,005.67
  6. Step 6: Final answer
    x = 242,754.74

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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.