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Finding the Fourth Proportional to 505,479.44, 758,217.00 and 205,893.20

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Solution

The fourth proportional to 505,479.44, 758,217.00 and 205,893.20 is: 308,838.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,479.44 : 758,217.00 = 205,893.20 : x
  2. Step 2: Convert to fraction form
    505,479.44/758,217.00 = 205,893.20/x
  3. Step 3: Cross multiply
    505,479.44x = 758,217.00 × 205,893.20
  4. Step 4: Simplify right side
    505,479.44x = 156,111,727,092.04
  5. Step 5: Solve for x
    x = 156,111,727,092.04/505,479.44
  6. Step 6: Final answer
    x = 308,838.92

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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.