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Finding the Fourth Proportional to 230,338.64, 317,863 and 128,361.86

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Solution

The fourth proportional to 230,338.64, 317,863 and 128,361.86 is: 177,136.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,338.64 : 317,863 = 128,361.86 : x
  2. Step 2: Convert to fraction form
    230,338.64/317,863 = 128,361.86/x
  3. Step 3: Cross multiply
    230,338.64x = 317,863 × 128,361.86
  4. Step 4: Simplify right side
    230,338.64x = 40,801,485,905.18
  5. Step 5: Solve for x
    x = 40,801,485,905.18/230,338.64
  6. Step 6: Final answer
    x = 177,136.96

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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.