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Finding the Fourth Proportional to 433,619.16, 649,754.46 and 300,759

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Solution

The fourth proportional to 433,619.16, 649,754.46 and 300,759 is: 450,670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,619.16 : 649,754.46 = 300,759 : x
  2. Step 2: Convert to fraction form
    433,619.16/649,754.46 = 300,759/x
  3. Step 3: Cross multiply
    433,619.16x = 649,754.46 × 300,759
  4. Step 4: Simplify right side
    433,619.16x = 195,419,501,635.14
  5. Step 5: Solve for x
    x = 195,419,501,635.14/433,619.16
  6. Step 6: Final answer
    x = 450,670.82

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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.