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Finding the Fourth Proportional to 313,018.44, 431,821.98 and 185,647.56

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Solution

The fourth proportional to 313,018.44, 431,821.98 and 185,647.56 is: 256,108.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,018.44 : 431,821.98 = 185,647.56 : x
  2. Step 2: Convert to fraction form
    313,018.44/431,821.98 = 185,647.56/x
  3. Step 3: Cross multiply
    313,018.44x = 431,821.98 × 185,647.56
  4. Step 4: Simplify right side
    313,018.44x = 80,166,696,941.37
  5. Step 5: Solve for x
    x = 80,166,696,941.37/313,018.44
  6. Step 6: Final answer
    x = 256,108.54

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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.