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Finding the Fourth Proportional to 306,298.50, 422,691.39 and 170,328.66

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Solution

The fourth proportional to 306,298.50, 422,691.39 and 170,328.66 is: 235,053.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,298.50 : 422,691.39 = 170,328.66 : x
  2. Step 2: Convert to fraction form
    306,298.50/422,691.39 = 170,328.66/x
  3. Step 3: Cross multiply
    306,298.50x = 422,691.39 × 170,328.66
  4. Step 4: Simplify right side
    306,298.50x = 71,996,458,052.24
  5. Step 5: Solve for x
    x = 71,996,458,052.24/306,298.50
  6. Step 6: Final answer
    x = 235,053.25

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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.