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Finding the Fourth Proportional to 505,392.51, 758,091.24 and 205,875.97

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Solution

The fourth proportional to 505,392.51, 758,091.24 and 205,875.97 is: 308,814.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,392.51 : 758,091.24 = 205,875.97 : x
  2. Step 2: Convert to fraction form
    505,392.51/758,091.24 = 205,875.97/x
  3. Step 3: Cross multiply
    505,392.51x = 758,091.24 × 205,875.97
  4. Step 4: Simplify right side
    505,392.51x = 156,072,769,383.50
  5. Step 5: Solve for x
    x = 156,072,769,383.50/505,392.51
  6. Step 6: Final answer
    x = 308,814.96

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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.