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Finding the Fourth Proportional to 270,692.24, 405,770.52 and 128,287.22

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Solution

The fourth proportional to 270,692.24, 405,770.52 and 128,287.22 is: 192,303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,692.24 : 405,770.52 = 128,287.22 : x
  2. Step 2: Convert to fraction form
    270,692.24/405,770.52 = 128,287.22/x
  3. Step 3: Cross multiply
    270,692.24x = 405,770.52 × 128,287.22
  4. Step 4: Simplify right side
    270,692.24x = 52,055,171,968.75
  5. Step 5: Solve for x
    x = 52,055,171,968.75/270,692.24
  6. Step 6: Final answer
    x = 192,303.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.