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Finding the Fourth Proportional to 321,020.64, 442,788.48 and 220,243.68

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Solution

The fourth proportional to 321,020.64, 442,788.48 and 220,243.68 is: 303,785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,020.64 : 442,788.48 = 220,243.68 : x
  2. Step 2: Convert to fraction form
    321,020.64/442,788.48 = 220,243.68/x
  3. Step 3: Cross multiply
    321,020.64x = 442,788.48 × 220,243.68
  4. Step 4: Simplify right side
    321,020.64x = 97,521,364,296.81
  5. Step 5: Solve for x
    x = 97,521,364,296.81/321,020.64
  6. Step 6: Final answer
    x = 303,785.34

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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.