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Finding the Fourth Proportional to 320,814, 442,840.14 and 186,678

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Solution

The fourth proportional to 320,814, 442,840.14 and 186,678 is: 257,683.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,814 : 442,840.14 = 186,678 : x
  2. Step 2: Convert to fraction form
    320,814/442,840.14 = 186,678/x
  3. Step 3: Cross multiply
    320,814x = 442,840.14 × 186,678
  4. Step 4: Simplify right side
    320,814x = 82,668,511,654.92
  5. Step 5: Solve for x
    x = 82,668,511,654.92/320,814
  6. Step 6: Final answer
    x = 257,683.62

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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.