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Finding the Fourth Proportional to 369,311.49, 509,642.73 and 208,163.43

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Solution

The fourth proportional to 369,311.49, 509,642.73 and 208,163.43 is: 287,261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,311.49 : 509,642.73 = 208,163.43 : x
  2. Step 2: Convert to fraction form
    369,311.49/509,642.73 = 208,163.43/x
  3. Step 3: Cross multiply
    369,311.49x = 509,642.73 × 208,163.43
  4. Step 4: Simplify right side
    369,311.49x = 106,088,978,751.36
  5. Step 5: Solve for x
    x = 106,088,978,751.36/369,311.49
  6. Step 6: Final answer
    x = 287,261.52

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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.