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Finding the Fourth Proportional to 303,838.79, 419,322.06 and 167,884.64

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Solution

The fourth proportional to 303,838.79, 419,322.06 and 167,884.64 is: 231,694.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,838.79 : 419,322.06 = 167,884.64 : x
  2. Step 2: Convert to fraction form
    303,838.79/419,322.06 = 167,884.64/x
  3. Step 3: Cross multiply
    303,838.79x = 419,322.06 × 167,884.64
  4. Step 4: Simplify right side
    303,838.79x = 70,397,730,990.55
  5. Step 5: Solve for x
    x = 70,397,730,990.55/303,838.79
  6. Step 6: Final answer
    x = 231,694.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.