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Finding the Fourth Proportional to 308,265.78, 462,661.11 and 121,408.50

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Solution

The fourth proportional to 308,265.78, 462,661.11 and 121,408.50 is: 182,216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,265.78 : 462,661.11 = 121,408.50 : x
  2. Step 2: Convert to fraction form
    308,265.78/462,661.11 = 121,408.50/x
  3. Step 3: Cross multiply
    308,265.78x = 462,661.11 × 121,408.50
  4. Step 4: Simplify right side
    308,265.78x = 56,170,991,373.44
  5. Step 5: Solve for x
    x = 56,170,991,373.44/308,265.78
  6. Step 6: Final answer
    x = 182,216.11

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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.