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Finding the Fourth Proportional to 230,033.45, 317,438.39 and 129,412.01

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Solution

The fourth proportional to 230,033.45, 317,438.39 and 129,412.01 is: 178,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,033.45 : 317,438.39 = 129,412.01 : x
  2. Step 2: Convert to fraction form
    230,033.45/317,438.39 = 129,412.01/x
  3. Step 3: Cross multiply
    230,033.45x = 317,438.39 × 129,412.01
  4. Step 4: Simplify right side
    230,033.45x = 41,080,339,454.00
  5. Step 5: Solve for x
    x = 41,080,339,454.00/230,033.45
  6. Step 6: Final answer
    x = 178,584.20

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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.