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Finding the Fourth Proportional to 308,812.80, 463,219.20 and 109,139.70

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Solution

The fourth proportional to 308,812.80, 463,219.20 and 109,139.70 is: 163,709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,812.80 : 463,219.20 = 109,139.70 : x
  2. Step 2: Convert to fraction form
    308,812.80/463,219.20 = 109,139.70/x
  3. Step 3: Cross multiply
    308,812.80x = 463,219.20 × 109,139.70
  4. Step 4: Simplify right side
    308,812.80x = 50,555,604,522.24
  5. Step 5: Solve for x
    x = 50,555,604,522.24/308,812.80
  6. Step 6: Final answer
    x = 163,709.55

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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.