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Finding the Fourth Proportional to 305,001.86, 420,913.26 and 184,119.48

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Solution

The fourth proportional to 305,001.86, 420,913.26 and 184,119.48 is: 254,091.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,001.86 : 420,913.26 = 184,119.48 : x
  2. Step 2: Convert to fraction form
    305,001.86/420,913.26 = 184,119.48/x
  3. Step 3: Cross multiply
    305,001.86x = 420,913.26 × 184,119.48
  4. Step 4: Simplify right side
    305,001.86x = 77,498,330,556.30
  5. Step 5: Solve for x
    x = 77,498,330,556.30/305,001.86
  6. Step 6: Final answer
    x = 254,091.34

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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.