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Finding the Fourth Proportional to 305,075, 421,003.62 and 185,843

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Solution

The fourth proportional to 305,075, 421,003.62 and 185,843 is: 256,463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,075 : 421,003.62 = 185,843 : x
  2. Step 2: Convert to fraction form
    305,075/421,003.62 = 185,843/x
  3. Step 3: Cross multiply
    305,075x = 421,003.62 × 185,843
  4. Step 4: Simplify right side
    305,075x = 78,240,575,751.66
  5. Step 5: Solve for x
    x = 78,240,575,751.66/305,075
  6. Step 6: Final answer
    x = 256,463.41

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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.