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Finding the Fourth Proportional to 209,857.20, 315,400.20 and 182,823.60

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Solution

The fourth proportional to 209,857.20, 315,400.20 and 182,823.60 is: 274,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,857.20 : 315,400.20 = 182,823.60 : x
  2. Step 2: Convert to fraction form
    209,857.20/315,400.20 = 182,823.60/x
  3. Step 3: Cross multiply
    209,857.20x = 315,400.20 × 182,823.60
  4. Step 4: Simplify right side
    209,857.20x = 57,662,600,004.72
  5. Step 5: Solve for x
    x = 57,662,600,004.72/209,857.20
  6. Step 6: Final answer
    x = 274,770.65

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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.