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Finding the Fourth Proportional to 321,835.73, 444,138.15 and 178,605.05

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Solution

The fourth proportional to 321,835.73, 444,138.15 and 178,605.05 is: 246,477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,835.73 : 444,138.15 = 178,605.05 : x
  2. Step 2: Convert to fraction form
    321,835.73/444,138.15 = 178,605.05/x
  3. Step 3: Cross multiply
    321,835.73x = 444,138.15 × 178,605.05
  4. Step 4: Simplify right side
    321,835.73x = 79,325,316,487.66
  5. Step 5: Solve for x
    x = 79,325,316,487.66/321,835.73
  6. Step 6: Final answer
    x = 246,477.66

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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.