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Finding the Fourth Proportional to 308,217.84, 462,363.60 and 130,701.78

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Solution

The fourth proportional to 308,217.84, 462,363.60 and 130,701.78 is: 196,068.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,217.84 : 462,363.60 = 130,701.78 : x
  2. Step 2: Convert to fraction form
    308,217.84/462,363.60 = 130,701.78/x
  3. Step 3: Cross multiply
    308,217.84x = 462,363.60 × 130,701.78
  4. Step 4: Simplify right side
    308,217.84x = 60,431,745,527.21
  5. Step 5: Solve for x
    x = 60,431,745,527.21/308,217.84
  6. Step 6: Final answer
    x = 196,068.29

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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.