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Finding the Fourth Proportional to 320,817.58, 480,955.69 and 202,227.51

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Solution

The fourth proportional to 320,817.58, 480,955.69 and 202,227.51 is: 303,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,817.58 : 480,955.69 = 202,227.51 : x
  2. Step 2: Convert to fraction form
    320,817.58/480,955.69 = 202,227.51/x
  3. Step 3: Cross multiply
    320,817.58x = 480,955.69 × 202,227.51
  4. Step 4: Simplify right side
    320,817.58x = 97,262,471,609.03
  5. Step 5: Solve for x
    x = 97,262,471,609.03/320,817.58
  6. Step 6: Final answer
    x = 303,170.64

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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.