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Finding the Fourth Proportional to 306,299.50, 422,692.77 and 170,329.66

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Solution

The fourth proportional to 306,299.50, 422,692.77 and 170,329.66 is: 235,054.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,299.50 : 422,692.77 = 170,329.66 : x
  2. Step 2: Convert to fraction form
    306,299.50/422,692.77 = 170,329.66/x
  3. Step 3: Cross multiply
    306,299.50x = 422,692.77 × 170,329.66
  4. Step 4: Simplify right side
    306,299.50x = 71,997,115,798.56
  5. Step 5: Solve for x
    x = 71,997,115,798.56/306,299.50
  6. Step 6: Final answer
    x = 235,054.63

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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.