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Finding the Fourth Proportional to 321,728.67, 444,023.82 and 185,795.64

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Solution

The fourth proportional to 321,728.67, 444,023.82 and 185,795.64 is: 256,420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,728.67 : 444,023.82 = 185,795.64 : x
  2. Step 2: Convert to fraction form
    321,728.67/444,023.82 = 185,795.64/x
  3. Step 3: Cross multiply
    321,728.67x = 444,023.82 × 185,795.64
  4. Step 4: Simplify right side
    321,728.67x = 82,497,689,812.14
  5. Step 5: Solve for x
    x = 82,497,689,812.14/321,728.67
  6. Step 6: Final answer
    x = 256,420.08

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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.