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Finding the Fourth Proportional to 320,842.91, 481,737.48 and 178,965.39

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Solution

The fourth proportional to 320,842.91, 481,737.48 and 178,965.39 is: 268,711.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,842.91 : 481,737.48 = 178,965.39 : x
  2. Step 2: Convert to fraction form
    320,842.91/481,737.48 = 178,965.39/x
  3. Step 3: Cross multiply
    320,842.91x = 481,737.48 × 178,965.39
  4. Step 4: Simplify right side
    320,842.91x = 86,214,335,985.82
  5. Step 5: Solve for x
    x = 86,214,335,985.82/320,842.91
  6. Step 6: Final answer
    x = 268,711.99

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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.