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Finding the Fourth Proportional to 408,022.20, 612,033.30 and 289,049.40

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Solution

The fourth proportional to 408,022.20, 612,033.30 and 289,049.40 is: 433,574.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,022.20 : 612,033.30 = 289,049.40 : x
  2. Step 2: Convert to fraction form
    408,022.20/612,033.30 = 289,049.40/x
  3. Step 3: Cross multiply
    408,022.20x = 612,033.30 × 289,049.40
  4. Step 4: Simplify right side
    408,022.20x = 176,907,858,145.02
  5. Step 5: Solve for x
    x = 176,907,858,145.02/408,022.20
  6. Step 6: Final answer
    x = 433,574.10

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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.