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Finding the Fourth Proportional to 433,627.16, 649,766.44 and 300,767

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Solution

The fourth proportional to 433,627.16, 649,766.44 and 300,767 is: 450,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,627.16 : 649,766.44 = 300,767 : x
  2. Step 2: Convert to fraction form
    433,627.16/649,766.44 = 300,767/x
  3. Step 3: Cross multiply
    433,627.16x = 649,766.44 × 300,767
  4. Step 4: Simplify right side
    433,627.16x = 195,428,302,859.48
  5. Step 5: Solve for x
    x = 195,428,302,859.48/433,627.16
  6. Step 6: Final answer
    x = 450,682.80

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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.