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Finding the Fourth Proportional to 632,000.30, 948,000.45 and 419,423.90

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Solution

The fourth proportional to 632,000.30, 948,000.45 and 419,423.90 is: 629,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,000.30 : 948,000.45 = 419,423.90 : x
  2. Step 2: Convert to fraction form
    632,000.30/948,000.45 = 419,423.90/x
  3. Step 3: Cross multiply
    632,000.30x = 948,000.45 × 419,423.90
  4. Step 4: Simplify right side
    632,000.30x = 397,614,045,940.76
  5. Step 5: Solve for x
    x = 397,614,045,940.76/632,000.30
  6. Step 6: Final answer
    x = 629,135.85

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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.