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Finding the Fourth Proportional to 433,620.16, 649,755.96 and 300,760

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Solution

The fourth proportional to 433,620.16, 649,755.96 and 300,760 is: 450,672.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,620.16 : 649,755.96 = 300,760 : x
  2. Step 2: Convert to fraction form
    433,620.16/649,755.96 = 300,760/x
  3. Step 3: Cross multiply
    433,620.16x = 649,755.96 × 300,760
  4. Step 4: Simplify right side
    433,620.16x = 195,420,602,529.60
  5. Step 5: Solve for x
    x = 195,420,602,529.60/433,620.16
  6. Step 6: Final answer
    x = 450,672.32

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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.