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Finding the Fourth Proportional to 200,271.60, 300,601.80 and 100,544.40

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Solution

The fourth proportional to 200,271.60, 300,601.80 and 100,544.40 is: 150,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,271.60 : 300,601.80 = 100,544.40 : x
  2. Step 2: Convert to fraction form
    200,271.60/300,601.80 = 100,544.40/x
  3. Step 3: Cross multiply
    200,271.60x = 300,601.80 × 100,544.40
  4. Step 4: Simplify right side
    200,271.60x = 30,223,827,619.92
  5. Step 5: Solve for x
    x = 30,223,827,619.92/200,271.60
  6. Step 6: Final answer
    x = 150,914.20

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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.