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Finding the Fourth Proportional to 213,953.35, 320,405.14 and 143,619.43

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Solution

The fourth proportional to 213,953.35, 320,405.14 and 143,619.43 is: 215,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,953.35 : 320,405.14 = 143,619.43 : x
  2. Step 2: Convert to fraction form
    213,953.35/320,405.14 = 143,619.43/x
  3. Step 3: Cross multiply
    213,953.35x = 320,405.14 × 143,619.43
  4. Step 4: Simplify right side
    213,953.35x = 46,016,403,575.87
  5. Step 5: Solve for x
    x = 46,016,403,575.87/213,953.35
  6. Step 6: Final answer
    x = 215,076.81

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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.