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Finding the Fourth Proportional to 322,913.28, 445,685.76 and 188,820.48

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Solution

The fourth proportional to 322,913.28, 445,685.76 and 188,820.48 is: 260,610.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,913.28 : 445,685.76 = 188,820.48 : x
  2. Step 2: Convert to fraction form
    322,913.28/445,685.76 = 188,820.48/x
  3. Step 3: Cross multiply
    322,913.28x = 445,685.76 × 188,820.48
  4. Step 4: Simplify right side
    322,913.28x = 84,154,599,132.36
  5. Step 5: Solve for x
    x = 84,154,599,132.36/322,913.28
  6. Step 6: Final answer
    x = 260,610.52

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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.