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Finding the Fourth Proportional to 321,309.86, 443,400.02 and 178,066.82

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Solution

The fourth proportional to 321,309.86, 443,400.02 and 178,066.82 is: 245,728.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,309.86 : 443,400.02 = 178,066.82 : x
  2. Step 2: Convert to fraction form
    321,309.86/443,400.02 = 178,066.82/x
  3. Step 3: Cross multiply
    321,309.86x = 443,400.02 × 178,066.82
  4. Step 4: Simplify right side
    321,309.86x = 78,954,830,659.00
  5. Step 5: Solve for x
    x = 78,954,830,659.00/321,309.86
  6. Step 6: Final answer
    x = 245,728.00

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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.