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Finding the Fourth Proportional to 209,223.86, 313,733.73 and 74,242.22

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Solution

The fourth proportional to 209,223.86, 313,733.73 and 74,242.22 is: 111,327.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,223.86 : 313,733.73 = 74,242.22 : x
  2. Step 2: Convert to fraction form
    209,223.86/313,733.73 = 74,242.22/x
  3. Step 3: Cross multiply
    209,223.86x = 313,733.73 × 74,242.22
  4. Step 4: Simplify right side
    209,223.86x = 23,292,288,604.08
  5. Step 5: Solve for x
    x = 23,292,288,604.08/209,223.86
  6. Step 6: Final answer
    x = 111,327.11

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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.