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Finding the Fourth Proportional to 308,756.96, 463,143.28 and 84,119.20

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Solution

The fourth proportional to 308,756.96, 463,143.28 and 84,119.20 is: 126,180.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,756.96 : 463,143.28 = 84,119.20 : x
  2. Step 2: Convert to fraction form
    308,756.96/463,143.28 = 84,119.20/x
  3. Step 3: Cross multiply
    308,756.96x = 463,143.28 × 84,119.20
  4. Step 4: Simplify right side
    308,756.96x = 38,959,242,198.98
  5. Step 5: Solve for x
    x = 38,959,242,198.98/308,756.96
  6. Step 6: Final answer
    x = 126,180.94

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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.