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Finding the Fourth Proportional to 338,643.80, 508,071.56 and 203,855.48

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Solution

The fourth proportional to 338,643.80, 508,071.56 and 203,855.48 is: 305,846.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,643.80 : 508,071.56 = 203,855.48 : x
  2. Step 2: Convert to fraction form
    338,643.80/508,071.56 = 203,855.48/x
  3. Step 3: Cross multiply
    338,643.80x = 508,071.56 × 203,855.48
  4. Step 4: Simplify right side
    338,643.80x = 103,573,171,738.15
  5. Step 5: Solve for x
    x = 103,573,171,738.15/338,643.80
  6. Step 6: Final answer
    x = 305,846.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.