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Finding the Fourth Proportional to 308,266.78, 462,662.62 and 121,409.50

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Solution

The fourth proportional to 308,266.78, 462,662.62 and 121,409.50 is: 182,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,266.78 : 462,662.62 = 121,409.50 : x
  2. Step 2: Convert to fraction form
    308,266.78/462,662.62 = 121,409.50/x
  3. Step 3: Cross multiply
    308,266.78x = 462,662.62 × 121,409.50
  4. Step 4: Simplify right side
    308,266.78x = 56,171,637,362.89
  5. Step 5: Solve for x
    x = 56,171,637,362.89/308,266.78
  6. Step 6: Final answer
    x = 182,217.61

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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.