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Finding the Fourth Proportional to 202,135.40, 302,619.90 and 196,303.40

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Solution

The fourth proportional to 202,135.40, 302,619.90 and 196,303.40 is: 293,888.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,135.40 : 302,619.90 = 196,303.40 : x
  2. Step 2: Convert to fraction form
    202,135.40/302,619.90 = 196,303.40/x
  3. Step 3: Cross multiply
    202,135.40x = 302,619.90 × 196,303.40
  4. Step 4: Simplify right side
    202,135.40x = 59,405,315,277.66
  5. Step 5: Solve for x
    x = 59,405,315,277.66/202,135.40
  6. Step 6: Final answer
    x = 293,888.73

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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.