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Finding the Fourth Proportional to 470,945.80, 706,418.70 and 419,624.20

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Solution

The fourth proportional to 470,945.80, 706,418.70 and 419,624.20 is: 629,436.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,945.80 : 706,418.70 = 419,624.20 : x
  2. Step 2: Convert to fraction form
    470,945.80/706,418.70 = 419,624.20/x
  3. Step 3: Cross multiply
    470,945.80x = 706,418.70 × 419,624.20
  4. Step 4: Simplify right side
    470,945.80x = 296,430,381,852.54
  5. Step 5: Solve for x
    x = 296,430,381,852.54/470,945.80
  6. Step 6: Final answer
    x = 629,436.30

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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.