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Finding the Fourth Proportional to 308,119.06, 462,183.72 and 139,640.82

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Solution

The fourth proportional to 308,119.06, 462,183.72 and 139,640.82 is: 209,463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,119.06 : 462,183.72 = 139,640.82 : x
  2. Step 2: Convert to fraction form
    308,119.06/462,183.72 = 139,640.82/x
  3. Step 3: Cross multiply
    308,119.06x = 462,183.72 × 139,640.82
  4. Step 4: Simplify right side
    308,119.06x = 64,539,711,340.53
  5. Step 5: Solve for x
    x = 64,539,711,340.53/308,119.06
  6. Step 6: Final answer
    x = 209,463.55

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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.