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Finding the Fourth Proportional to 209,090.34, 290,025.12 and 201,921.48

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Solution

The fourth proportional to 209,090.34, 290,025.12 and 201,921.48 is: 280,081.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,090.34 : 290,025.12 = 201,921.48 : x
  2. Step 2: Convert to fraction form
    209,090.34/290,025.12 = 201,921.48/x
  3. Step 3: Cross multiply
    209,090.34x = 290,025.12 × 201,921.48
  4. Step 4: Simplify right side
    209,090.34x = 58,562,301,467.58
  5. Step 5: Solve for x
    x = 58,562,301,467.58/209,090.34
  6. Step 6: Final answer
    x = 280,081.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.