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Finding the Fourth Proportional to 408,889.80, 612,824.40 and 209,289.60

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Solution

The fourth proportional to 408,889.80, 612,824.40 and 209,289.60 is: 313,673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,889.80 : 612,824.40 = 209,289.60 : x
  2. Step 2: Convert to fraction form
    408,889.80/612,824.40 = 209,289.60/x
  3. Step 3: Cross multiply
    408,889.80x = 612,824.40 × 209,289.60
  4. Step 4: Simplify right side
    408,889.80x = 128,257,773,546.24
  5. Step 5: Solve for x
    x = 128,257,773,546.24/408,889.80
  6. Step 6: Final answer
    x = 313,673.20

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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.