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Finding the Fourth Proportional to 431,223.30, 646,119.86 and 262,232.44

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Solution

The fourth proportional to 431,223.30, 646,119.86 and 262,232.44 is: 392,913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,223.30 : 646,119.86 = 262,232.44 : x
  2. Step 2: Convert to fraction form
    431,223.30/646,119.86 = 262,232.44/x
  3. Step 3: Cross multiply
    431,223.30x = 646,119.86 × 262,232.44
  4. Step 4: Simplify right side
    431,223.30x = 169,433,587,420.26
  5. Step 5: Solve for x
    x = 169,433,587,420.26/431,223.30
  6. Step 6: Final answer
    x = 392,913.80

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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.