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Finding the Fourth Proportional to 205,405.30, 307,589.55 and 163,933.30

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Solution

The fourth proportional to 205,405.30, 307,589.55 and 163,933.30 is: 245,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,405.30 : 307,589.55 = 163,933.30 : x
  2. Step 2: Convert to fraction form
    205,405.30/307,589.55 = 163,933.30/x
  3. Step 3: Cross multiply
    205,405.30x = 307,589.55 × 163,933.30
  4. Step 4: Simplify right side
    205,405.30x = 50,424,169,977.02
  5. Step 5: Solve for x
    x = 50,424,169,977.02/205,405.30
  6. Step 6: Final answer
    x = 245,486.22

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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.