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Finding the Fourth Proportional to 320,816.58, 480,954.20 and 202,226.51

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Solution

The fourth proportional to 320,816.58, 480,954.20 and 202,226.51 is: 303,169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,816.58 : 480,954.20 = 202,226.51 : x
  2. Step 2: Convert to fraction form
    320,816.58/480,954.20 = 202,226.51/x
  3. Step 3: Cross multiply
    320,816.58x = 480,954.20 × 202,226.51
  4. Step 4: Simplify right side
    320,816.58x = 97,261,685,919.94
  5. Step 5: Solve for x
    x = 97,261,685,919.94/320,816.58
  6. Step 6: Final answer
    x = 303,169.14

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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.