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Finding the Fourth Proportional to 361,090.51, 498,298.78 and 199,942.09

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Solution

The fourth proportional to 361,090.51, 498,298.78 and 199,942.09 is: 275,916.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,090.51 : 498,298.78 = 199,942.09 : x
  2. Step 2: Convert to fraction form
    361,090.51/498,298.78 = 199,942.09/x
  3. Step 3: Cross multiply
    361,090.51x = 498,298.78 × 199,942.09
  4. Step 4: Simplify right side
    361,090.51x = 99,630,898,521.83
  5. Step 5: Solve for x
    x = 99,630,898,521.83/361,090.51
  6. Step 6: Final answer
    x = 275,916.69

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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.