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Finding the Fourth Proportional to 657,674.20, 984,761.70 and 419,728.60

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Solution

The fourth proportional to 657,674.20, 984,761.70 and 419,728.60 is: 628,476.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,674.20 : 984,761.70 = 419,728.60 : x
  2. Step 2: Convert to fraction form
    657,674.20/984,761.70 = 419,728.60/x
  3. Step 3: Cross multiply
    657,674.20x = 984,761.70 × 419,728.60
  4. Step 4: Simplify right side
    657,674.20x = 413,332,649,674.62
  5. Step 5: Solve for x
    x = 413,332,649,674.62/657,674.20
  6. Step 6: Final answer
    x = 628,476.30

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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.