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Finding the Fourth Proportional to 308,768.40, 463,152.60 and 188,499.60

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Solution

The fourth proportional to 308,768.40, 463,152.60 and 188,499.60 is: 282,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,768.40 : 463,152.60 = 188,499.60 : x
  2. Step 2: Convert to fraction form
    308,768.40/463,152.60 = 188,499.60/x
  3. Step 3: Cross multiply
    308,768.40x = 463,152.60 × 188,499.60
  4. Step 4: Simplify right side
    308,768.40x = 87,304,079,838.96
  5. Step 5: Solve for x
    x = 87,304,079,838.96/308,768.40
  6. Step 6: Final answer
    x = 282,749.40

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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.