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Finding the Fourth Proportional to 300,133.80, 450,200.70 and 289,636.20

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Solution

The fourth proportional to 300,133.80, 450,200.70 and 289,636.20 is: 434,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,133.80 : 450,200.70 = 289,636.20 : x
  2. Step 2: Convert to fraction form
    300,133.80/450,200.70 = 289,636.20/x
  3. Step 3: Cross multiply
    300,133.80x = 450,200.70 × 289,636.20
  4. Step 4: Simplify right side
    300,133.80x = 130,394,419,985.34
  5. Step 5: Solve for x
    x = 130,394,419,985.34/300,133.80
  6. Step 6: Final answer
    x = 434,454.30

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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.