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Finding the Fourth Proportional to 450,144, 620,557.56 and 306,720

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Solution

The fourth proportional to 450,144, 620,557.56 and 306,720 is: 422,836.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,144 : 620,557.56 = 306,720 : x
  2. Step 2: Convert to fraction form
    450,144/620,557.56 = 306,720/x
  3. Step 3: Cross multiply
    450,144x = 620,557.56 × 306,720
  4. Step 4: Simplify right side
    450,144x = 190,337,414,803.20
  5. Step 5: Solve for x
    x = 190,337,414,803.20/450,144
  6. Step 6: Final answer
    x = 422,836.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.