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Finding the Fourth Proportional to 412,243.20, 618,364.80 and 202,291.20

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Solution

The fourth proportional to 412,243.20, 618,364.80 and 202,291.20 is: 303,436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,243.20 : 618,364.80 = 202,291.20 : x
  2. Step 2: Convert to fraction form
    412,243.20/618,364.80 = 202,291.20/x
  3. Step 3: Cross multiply
    412,243.20x = 618,364.80 × 202,291.20
  4. Step 4: Simplify right side
    412,243.20x = 125,089,757,429.76
  5. Step 5: Solve for x
    x = 125,089,757,429.76/412,243.20
  6. Step 6: Final answer
    x = 303,436.80

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1.5x scale

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.