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Finding the Fourth Proportional to 431,171.21, 646,266.38 and 262,319.33

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Solution

The fourth proportional to 431,171.21, 646,266.38 and 262,319.33 is: 393,180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,171.21 : 646,266.38 = 262,319.33 : x
  2. Step 2: Convert to fraction form
    431,171.21/646,266.38 = 262,319.33/x
  3. Step 3: Cross multiply
    431,171.21x = 646,266.38 × 262,319.33
  4. Step 4: Simplify right side
    431,171.21x = 169,528,164,107.20
  5. Step 5: Solve for x
    x = 169,528,164,107.20/431,171.21
  6. Step 6: Final answer
    x = 393,180.62

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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.