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Finding the Fourth Proportional to 308,161.46, 461,453 and 213,260.24

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Solution

The fourth proportional to 308,161.46, 461,453 and 213,260.24 is: 319,344.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,161.46 : 461,453 = 213,260.24 : x
  2. Step 2: Convert to fraction form
    308,161.46/461,453 = 213,260.24/x
  3. Step 3: Cross multiply
    308,161.46x = 461,453 × 213,260.24
  4. Step 4: Simplify right side
    308,161.46x = 98,409,577,528.72
  5. Step 5: Solve for x
    x = 98,409,577,528.72/308,161.46
  6. Step 6: Final answer
    x = 319,344.21

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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.