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Finding the Fourth Proportional to 205,405.80, 307,590.30 and 163,933.80

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Solution

The fourth proportional to 205,405.80, 307,590.30 and 163,933.80 is: 245,486.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,405.80 : 307,590.30 = 163,933.80 : x
  2. Step 2: Convert to fraction form
    205,405.80/307,590.30 = 163,933.80/x
  3. Step 3: Cross multiply
    205,405.80x = 307,590.30 × 163,933.80
  4. Step 4: Simplify right side
    205,405.80x = 50,424,446,722.14
  5. Step 5: Solve for x
    x = 50,424,446,722.14/205,405.80
  6. Step 6: Final answer
    x = 245,486.97

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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.