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Finding the Fourth Proportional to 407,791.12, 562,556.44 and 286,999.44

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Solution

The fourth proportional to 407,791.12, 562,556.44 and 286,999.44 is: 395,921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,791.12 : 562,556.44 = 286,999.44 : x
  2. Step 2: Convert to fraction form
    407,791.12/562,556.44 = 286,999.44/x
  3. Step 3: Cross multiply
    407,791.12x = 562,556.44 × 286,999.44
  4. Step 4: Simplify right side
    407,791.12x = 161,453,383,248.39
  5. Step 5: Solve for x
    x = 161,453,383,248.39/407,791.12
  6. Step 6: Final answer
    x = 395,921.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.