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Finding the Fourth Proportional to 403,838.30, 605,611.65 and 204,092.30

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Solution

The fourth proportional to 403,838.30, 605,611.65 and 204,092.30 is: 306,064.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,838.30 : 605,611.65 = 204,092.30 : x
  2. Step 2: Convert to fraction form
    403,838.30/605,611.65 = 204,092.30/x
  3. Step 3: Cross multiply
    403,838.30x = 605,611.65 × 204,092.30
  4. Step 4: Simplify right side
    403,838.30x = 123,600,674,555.30
  5. Step 5: Solve for x
    x = 123,600,674,555.30/403,838.30
  6. Step 6: Final answer
    x = 306,064.77

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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.