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Finding the Fourth Proportional to 456,654.26, 684,984.32 and 119,692

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Solution

The fourth proportional to 456,654.26, 684,984.32 and 119,692 is: 179,538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,654.26 : 684,984.32 = 119,692 : x
  2. Step 2: Convert to fraction form
    456,654.26/684,984.32 = 119,692/x
  3. Step 3: Cross multiply
    456,654.26x = 684,984.32 × 119,692
  4. Step 4: Simplify right side
    456,654.26x = 81,987,143,229.44
  5. Step 5: Solve for x
    x = 81,987,143,229.44/456,654.26
  6. Step 6: Final answer
    x = 179,538.77

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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.