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Finding the Fourth Proportional to 213,749.20, 320,623.80 and 205,584.40

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Solution

The fourth proportional to 213,749.20, 320,623.80 and 205,584.40 is: 308,376.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,749.20 : 320,623.80 = 205,584.40 : x
  2. Step 2: Convert to fraction form
    213,749.20/320,623.80 = 205,584.40/x
  3. Step 3: Cross multiply
    213,749.20x = 320,623.80 × 205,584.40
  4. Step 4: Simplify right side
    213,749.20x = 65,915,251,548.72
  5. Step 5: Solve for x
    x = 65,915,251,548.72/213,749.20
  6. Step 6: Final answer
    x = 308,376.60

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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.