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Finding the Fourth Proportional to 323,846.40, 446,728.32 and 189,684.48

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Solution

The fourth proportional to 323,846.40, 446,728.32 and 189,684.48 is: 261,659.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,846.40 : 446,728.32 = 189,684.48 : x
  2. Step 2: Convert to fraction form
    323,846.40/446,728.32 = 189,684.48/x
  3. Step 3: Cross multiply
    323,846.40x = 446,728.32 × 189,684.48
  4. Step 4: Simplify right side
    323,846.40x = 84,737,429,080.47
  5. Step 5: Solve for x
    x = 84,737,429,080.47/323,846.40
  6. Step 6: Final answer
    x = 261,659.32

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1.5x scale

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.