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Finding the Fourth Proportional to 450,042.60, 620,766.14 and 288,642

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Solution

The fourth proportional to 450,042.60, 620,766.14 and 288,642 is: 398,138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,042.60 : 620,766.14 = 288,642 : x
  2. Step 2: Convert to fraction form
    450,042.60/620,766.14 = 288,642/x
  3. Step 3: Cross multiply
    450,042.60x = 620,766.14 × 288,642
  4. Step 4: Simplify right side
    450,042.60x = 179,179,180,181.88
  5. Step 5: Solve for x
    x = 179,179,180,181.88/450,042.60
  6. Step 6: Final answer
    x = 398,138.27

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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.