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Finding the Fourth Proportional to 431,003.70, 646,289.28 and 251,147.25

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Solution

The fourth proportional to 431,003.70, 646,289.28 and 251,147.25 is: 376,594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,003.70 : 646,289.28 = 251,147.25 : x
  2. Step 2: Convert to fraction form
    431,003.70/646,289.28 = 251,147.25/x
  3. Step 3: Cross multiply
    431,003.70x = 646,289.28 × 251,147.25
  4. Step 4: Simplify right side
    431,003.70x = 162,313,775,376.48
  5. Step 5: Solve for x
    x = 162,313,775,376.48/431,003.70
  6. Step 6: Final answer
    x = 376,594.85

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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.