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Finding the Fourth Proportional to 320,842.80, 481,737.31 and 178,965.28

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Solution

The fourth proportional to 320,842.80, 481,737.31 and 178,965.28 is: 268,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,842.80 : 481,737.31 = 178,965.28 : x
  2. Step 2: Convert to fraction form
    320,842.80/481,737.31 = 178,965.28/x
  3. Step 3: Cross multiply
    320,842.80x = 481,737.31 × 178,965.28
  4. Step 4: Simplify right side
    320,842.80x = 86,214,251,589.96
  5. Step 5: Solve for x
    x = 86,214,251,589.96/320,842.80
  6. Step 6: Final answer
    x = 268,711.82

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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.