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Finding the Fourth Proportional to 306,178.10, 422,532.83 and 170,206.82

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Solution

The fourth proportional to 306,178.10, 422,532.83 and 170,206.82 is: 234,889.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,178.10 : 422,532.83 = 170,206.82 : x
  2. Step 2: Convert to fraction form
    306,178.10/422,532.83 = 170,206.82/x
  3. Step 3: Cross multiply
    306,178.10x = 422,532.83 × 170,206.82
  4. Step 4: Simplify right side
    306,178.10x = 71,917,968,488.87
  5. Step 5: Solve for x
    x = 71,917,968,488.87/306,178.10
  6. Step 6: Final answer
    x = 234,889.33

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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.