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Finding the Fourth Proportional to 217,038,409.80, 325,557,614.70 and 200,410,211.40

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Solution

The fourth proportional to 217,038,409.80, 325,557,614.70 and 200,410,211.40 is: 300,615,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,038,409.80 : 325,557,614.70 = 200,410,211.40 : x
  2. Step 2: Convert to fraction form
    217,038,409.80/325,557,614.70 = 200,410,211.40/x
  3. Step 3: Cross multiply
    217,038,409.80x = 325,557,614.70 × 200,410,211.40
  4. Step 4: Simplify right side
    217,038,409.80x = 65,245,070,384,906,744
  5. Step 5: Solve for x
    x = 65,245,070,384,906,744/217,038,409.80
  6. Step 6: Final answer
    x = 300,615,317.10

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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.