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Finding the Fourth Proportional to 377,351.06, 520,738.88 and 205,264.94

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Solution

The fourth proportional to 377,351.06, 520,738.88 and 205,264.94 is: 283,262.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,351.06 : 520,738.88 = 205,264.94 : x
  2. Step 2: Convert to fraction form
    377,351.06/520,738.88 = 205,264.94/x
  3. Step 3: Cross multiply
    377,351.06x = 520,738.88 × 205,264.94
  4. Step 4: Simplify right side
    377,351.06x = 106,889,431,328.85
  5. Step 5: Solve for x
    x = 106,889,431,328.85/377,351.06
  6. Step 6: Final answer
    x = 283,262.57

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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.