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Finding the Fourth Proportional to 417,128.09, 625,692.13 and 192,422.05

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Solution

The fourth proportional to 417,128.09, 625,692.13 and 192,422.05 is: 288,633.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,128.09 : 625,692.13 = 192,422.05 : x
  2. Step 2: Convert to fraction form
    417,128.09/625,692.13 = 192,422.05/x
  3. Step 3: Cross multiply
    417,128.09x = 625,692.13 × 192,422.05
  4. Step 4: Simplify right side
    417,128.09x = 120,396,958,232.90
  5. Step 5: Solve for x
    x = 120,396,958,232.90/417,128.09
  6. Step 6: Final answer
    x = 288,633.06

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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.