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Finding the Fourth Proportional to 230,213.82, 317,709.66 and 129,618.30

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Solution

The fourth proportional to 230,213.82, 317,709.66 and 129,618.30 is: 178,881.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,213.82 : 317,709.66 = 129,618.30 : x
  2. Step 2: Convert to fraction form
    230,213.82/317,709.66 = 129,618.30/x
  3. Step 3: Cross multiply
    230,213.82x = 317,709.66 × 129,618.30
  4. Step 4: Simplify right side
    230,213.82x = 41,180,986,022.78
  5. Step 5: Solve for x
    x = 41,180,986,022.78/230,213.82
  6. Step 6: Final answer
    x = 178,881.47

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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.