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Finding the Fourth Proportional to 321,420.54, 443,552.31 and 178,180.14

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Solution

The fourth proportional to 321,420.54, 443,552.31 and 178,180.14 is: 245,884.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,420.54 : 443,552.31 = 178,180.14 : x
  2. Step 2: Convert to fraction form
    321,420.54/443,552.31 = 178,180.14/x
  3. Step 3: Cross multiply
    321,420.54x = 443,552.31 × 178,180.14
  4. Step 4: Simplify right side
    321,420.54x = 79,032,212,693.12
  5. Step 5: Solve for x
    x = 79,032,212,693.12/321,420.54
  6. Step 6: Final answer
    x = 245,884.14

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1.5x scale

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.