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Finding the Fourth Proportional to 320,148, 441,804.24 and 178,836

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Solution

The fourth proportional to 320,148, 441,804.24 and 178,836 is: 246,793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,148 : 441,804.24 = 178,836 : x
  2. Step 2: Convert to fraction form
    320,148/441,804.24 = 178,836/x
  3. Step 3: Cross multiply
    320,148x = 441,804.24 × 178,836
  4. Step 4: Simplify right side
    320,148x = 79,010,503,064.64
  5. Step 5: Solve for x
    x = 79,010,503,064.64/320,148
  6. Step 6: Final answer
    x = 246,793.68

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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.