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Finding the Fourth Proportional to 200,378.94, 300,588.48 and 74,052.38

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Solution

The fourth proportional to 200,378.94, 300,588.48 and 74,052.38 is: 111,085.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,378.94 : 300,588.48 = 74,052.38 : x
  2. Step 2: Convert to fraction form
    200,378.94/300,588.48 = 74,052.38/x
  3. Step 3: Cross multiply
    200,378.94x = 300,588.48 × 74,052.38
  4. Step 4: Simplify right side
    200,378.94x = 22,259,290,841.64
  5. Step 5: Solve for x
    x = 22,259,290,841.64/200,378.94
  6. Step 6: Final answer
    x = 111,085.98

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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.