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Finding the Fourth Proportional to 308,327.96, 462,185.76 and 148,370.78

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Solution

The fourth proportional to 308,327.96, 462,185.76 and 148,370.78 is: 222,408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,327.96 : 462,185.76 = 148,370.78 : x
  2. Step 2: Convert to fraction form
    308,327.96/462,185.76 = 148,370.78/x
  3. Step 3: Cross multiply
    308,327.96x = 462,185.76 × 148,370.78
  4. Step 4: Simplify right side
    308,327.96x = 68,574,863,427.95
  5. Step 5: Solve for x
    x = 68,574,863,427.95/308,327.96
  6. Step 6: Final answer
    x = 222,408.84

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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.