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Finding the Fourth Proportional to 308,265.28, 462,660.37 and 121,408

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Solution

The fourth proportional to 308,265.28, 462,660.37 and 121,408 is: 182,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,265.28 : 462,660.37 = 121,408 : x
  2. Step 2: Convert to fraction form
    308,265.28/462,660.37 = 121,408/x
  3. Step 3: Cross multiply
    308,265.28x = 462,660.37 × 121,408
  4. Step 4: Simplify right side
    308,265.28x = 56,170,670,200.96
  5. Step 5: Solve for x
    x = 56,170,670,200.96/308,265.28
  6. Step 6: Final answer
    x = 182,215.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.