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Finding the Fourth Proportional to 431,265.24, 646,680.78 and 251,408.52

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Solution

The fourth proportional to 431,265.24, 646,680.78 and 251,408.52 is: 376,986.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,265.24 : 646,680.78 = 251,408.52 : x
  2. Step 2: Convert to fraction form
    431,265.24/646,680.78 = 251,408.52/x
  3. Step 3: Cross multiply
    431,265.24x = 646,680.78 × 251,408.52
  4. Step 4: Simplify right side
    431,265.24x = 162,581,057,812.25
  5. Step 5: Solve for x
    x = 162,581,057,812.25/431,265.24
  6. Step 6: Final answer
    x = 376,986.23

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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.