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Finding the Fourth Proportional to 331,861.72, 457,978.62 and 180,967

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Solution

The fourth proportional to 331,861.72, 457,978.62 and 180,967 is: 249,739.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,861.72 : 457,978.62 = 180,967 : x
  2. Step 2: Convert to fraction form
    331,861.72/457,978.62 = 180,967/x
  3. Step 3: Cross multiply
    331,861.72x = 457,978.62 × 180,967
  4. Step 4: Simplify right side
    331,861.72x = 82,879,016,925.54
  5. Step 5: Solve for x
    x = 82,879,016,925.54/331,861.72
  6. Step 6: Final answer
    x = 249,739.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.