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Finding the Fourth Proportional to 632,002.30, 948,003.45 and 419,425.90

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Solution

The fourth proportional to 632,002.30, 948,003.45 and 419,425.90 is: 629,138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,002.30 : 948,003.45 = 419,425.90 : x
  2. Step 2: Convert to fraction form
    632,002.30/948,003.45 = 419,425.90/x
  3. Step 3: Cross multiply
    632,002.30x = 948,003.45 × 419,425.90
  4. Step 4: Simplify right side
    632,002.30x = 397,617,200,219.36
  5. Step 5: Solve for x
    x = 397,617,200,219.36/632,002.30
  6. Step 6: Final answer
    x = 629,138.85

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Double scale
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Similar ratio
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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.