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Finding the Fourth Proportional to 414,448.80, 621,520.88 and 148,137.44

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Solution

The fourth proportional to 414,448.80, 621,520.88 and 148,137.44 is: 222,151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,448.80 : 621,520.88 = 148,137.44 : x
  2. Step 2: Convert to fraction form
    414,448.80/621,520.88 = 148,137.44/x
  3. Step 3: Cross multiply
    414,448.80x = 621,520.88 × 148,137.44
  4. Step 4: Simplify right side
    414,448.80x = 92,070,512,069.75
  5. Step 5: Solve for x
    x = 92,070,512,069.75/414,448.80
  6. Step 6: Final answer
    x = 222,151.72

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1.5x scale

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.