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Finding the Fourth Proportional to 422,658,032.40, 633,987,048.60 and 204,412,928.40

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Solution

The fourth proportional to 422,658,032.40, 633,987,048.60 and 204,412,928.40 is: 306,619,392.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,658,032.40 : 633,987,048.60 = 204,412,928.40 : x
  2. Step 2: Convert to fraction form
    422,658,032.40/633,987,048.60 = 204,412,928.40/x
  3. Step 3: Cross multiply
    422,658,032.40x = 633,987,048.60 × 204,412,928.40
  4. Step 4: Simplify right side
    422,658,032.40x = 129,595,149,171,999,136
  5. Step 5: Solve for x
    x = 129,595,149,171,999,136/422,658,032.40
  6. Step 6: Final answer
    x = 306,619,392.60

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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.