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Finding the Fourth Proportional to 450,675.28, 621,213.06 and 305,435.80

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Solution

The fourth proportional to 450,675.28, 621,213.06 and 305,435.80 is: 421,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,675.28 : 621,213.06 = 305,435.80 : x
  2. Step 2: Convert to fraction form
    450,675.28/621,213.06 = 305,435.80/x
  3. Step 3: Cross multiply
    450,675.28x = 621,213.06 × 305,435.80
  4. Step 4: Simplify right side
    450,675.28x = 189,740,707,951.55
  5. Step 5: Solve for x
    x = 189,740,707,951.55/450,675.28
  6. Step 6: Final answer
    x = 421,014.23

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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.