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Finding the Fourth Proportional to 470,513.80, 705,770.70 and 321,214.60

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Solution

The fourth proportional to 470,513.80, 705,770.70 and 321,214.60 is: 481,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,513.80 : 705,770.70 = 321,214.60 : x
  2. Step 2: Convert to fraction form
    470,513.80/705,770.70 = 321,214.60/x
  3. Step 3: Cross multiply
    470,513.80x = 705,770.70 × 321,214.60
  4. Step 4: Simplify right side
    470,513.80x = 226,703,853,092.22
  5. Step 5: Solve for x
    x = 226,703,853,092.22/470,513.80
  6. Step 6: Final answer
    x = 481,821.90

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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.