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Finding the Fourth Proportional to 431,163.80, 646,745.70 and 411,810.20

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Solution

The fourth proportional to 431,163.80, 646,745.70 and 411,810.20 is: 617,715.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,163.80 : 646,745.70 = 411,810.20 : x
  2. Step 2: Convert to fraction form
    431,163.80/646,745.70 = 411,810.20/x
  3. Step 3: Cross multiply
    431,163.80x = 646,745.70 × 411,810.20
  4. Step 4: Simplify right side
    431,163.80x = 266,336,476,066.14
  5. Step 5: Solve for x
    x = 266,336,476,066.14/431,163.80
  6. Step 6: Final answer
    x = 617,715.30

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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.