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Finding the Fourth Proportional to 308,943.60, 463,069.80 and 131,420.40

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Solution

The fourth proportional to 308,943.60, 463,069.80 and 131,420.40 is: 196,983.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,943.60 : 463,069.80 = 131,420.40 : x
  2. Step 2: Convert to fraction form
    308,943.60/463,069.80 = 131,420.40/x
  3. Step 3: Cross multiply
    308,943.60x = 463,069.80 × 131,420.40
  4. Step 4: Simplify right side
    308,943.60x = 60,856,818,343.92
  5. Step 5: Solve for x
    x = 60,856,818,343.92/308,943.60
  6. Step 6: Final answer
    x = 196,983.59

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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.