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Finding the Fourth Proportional to 629,684.16, 868,964.80 and 343,204.48

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Solution

The fourth proportional to 629,684.16, 868,964.80 and 343,204.48 is: 473,622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,684.16 : 868,964.80 = 343,204.48 : x
  2. Step 2: Convert to fraction form
    629,684.16/868,964.80 = 343,204.48/x
  3. Step 3: Cross multiply
    629,684.16x = 868,964.80 × 343,204.48
  4. Step 4: Simplify right side
    629,684.16x = 298,232,612,322.30
  5. Step 5: Solve for x
    x = 298,232,612,322.30/629,684.16
  6. Step 6: Final answer
    x = 473,622.54

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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.