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Finding the Fourth Proportional to 308,678.52, 463,792.86 and 196,407.60

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Solution

The fourth proportional to 308,678.52, 463,792.86 and 196,407.60 is: 295,104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,678.52 : 463,792.86 = 196,407.60 : x
  2. Step 2: Convert to fraction form
    308,678.52/463,792.86 = 196,407.60/x
  3. Step 3: Cross multiply
    308,678.52x = 463,792.86 × 196,407.60
  4. Step 4: Simplify right side
    308,678.52x = 91,092,442,529.74
  5. Step 5: Solve for x
    x = 91,092,442,529.74/308,678.52
  6. Step 6: Final answer
    x = 295,104.57

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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.