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Finding the Fourth Proportional to 320,955.96, 442,993.50 and 213,530.52

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Solution

The fourth proportional to 320,955.96, 442,993.50 and 213,530.52 is: 294,721.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,955.96 : 442,993.50 = 213,530.52 : x
  2. Step 2: Convert to fraction form
    320,955.96/442,993.50 = 213,530.52/x
  3. Step 3: Cross multiply
    320,955.96x = 442,993.50 × 213,530.52
  4. Step 4: Simplify right side
    320,955.96x = 94,592,632,411.62
  5. Step 5: Solve for x
    x = 94,592,632,411.62/320,955.96
  6. Step 6: Final answer
    x = 294,721.53

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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.