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Finding the Fourth Proportional to 450,046.35, 620,771.31 and 288,645.75

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Solution

The fourth proportional to 450,046.35, 620,771.31 and 288,645.75 is: 398,143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,046.35 : 620,771.31 = 288,645.75 : x
  2. Step 2: Convert to fraction form
    450,046.35/620,771.31 = 288,645.75/x
  3. Step 3: Cross multiply
    450,046.35x = 620,771.31 × 288,645.75
  4. Step 4: Simplify right side
    450,046.35x = 179,183,000,353.43
  5. Step 5: Solve for x
    x = 179,183,000,353.43/450,046.35
  6. Step 6: Final answer
    x = 398,143.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.