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Finding the Fourth Proportional to 433,480.80, 649,346.40 and 300,511.20

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Solution

The fourth proportional to 433,480.80, 649,346.40 and 300,511.20 is: 450,160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,480.80 : 649,346.40 = 300,511.20 : x
  2. Step 2: Convert to fraction form
    433,480.80/649,346.40 = 300,511.20/x
  3. Step 3: Cross multiply
    433,480.80x = 649,346.40 × 300,511.20
  4. Step 4: Simplify right side
    433,480.80x = 195,135,865,879.68
  5. Step 5: Solve for x
    x = 195,135,865,879.68/433,480.80
  6. Step 6: Final answer
    x = 450,160.34

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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.