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Finding the Fourth Proportional to 320,871.96, 442,877.64 and 213,446.52

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Solution

The fourth proportional to 320,871.96, 442,877.64 and 213,446.52 is: 294,605.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,871.96 : 442,877.64 = 213,446.52 : x
  2. Step 2: Convert to fraction form
    320,871.96/442,877.64 = 213,446.52/x
  3. Step 3: Cross multiply
    320,871.96x = 442,877.64 × 213,446.52
  4. Step 4: Simplify right side
    320,871.96x = 94,530,691,043.81
  5. Step 5: Solve for x
    x = 94,530,691,043.81/320,871.96
  6. Step 6: Final answer
    x = 294,605.65

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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.