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Finding the Fourth Proportional to 305,296.48, 421,517.66 and 190,749.52

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Solution

The fourth proportional to 305,296.48, 421,517.66 and 190,749.52 is: 263,364.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,296.48 : 421,517.66 = 190,749.52 : x
  2. Step 2: Convert to fraction form
    305,296.48/421,517.66 = 190,749.52/x
  3. Step 3: Cross multiply
    305,296.48x = 421,517.66 × 190,749.52
  4. Step 4: Simplify right side
    305,296.48x = 80,404,291,316.52
  5. Step 5: Solve for x
    x = 80,404,291,316.52/305,296.48
  6. Step 6: Final answer
    x = 263,364.62

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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.