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Finding the Fourth Proportional to 305,182.52, 421,496.76 and 208,220

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Solution

The fourth proportional to 305,182.52, 421,496.76 and 208,220 is: 287,578.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,182.52 : 421,496.76 = 208,220 : x
  2. Step 2: Convert to fraction form
    305,182.52/421,496.76 = 208,220/x
  3. Step 3: Cross multiply
    305,182.52x = 421,496.76 × 208,220
  4. Step 4: Simplify right side
    305,182.52x = 87,764,055,367.20
  5. Step 5: Solve for x
    x = 87,764,055,367.20/305,182.52
  6. Step 6: Final answer
    x = 287,578.91

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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.