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Finding the Fourth Proportional to 431,017.21, 645,855.27 and 164,632.33

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Solution

The fourth proportional to 431,017.21, 645,855.27 and 164,632.33 is: 246,692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,017.21 : 645,855.27 = 164,632.33 : x
  2. Step 2: Convert to fraction form
    431,017.21/645,855.27 = 164,632.33/x
  3. Step 3: Cross multiply
    431,017.21x = 645,855.27 × 164,632.33
  4. Step 4: Simplify right side
    431,017.21x = 106,328,657,942.88
  5. Step 5: Solve for x
    x = 106,328,657,942.88/431,017.21
  6. Step 6: Final answer
    x = 246,692.37

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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.