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Finding the Fourth Proportional to 301,399.63, 415,952.28 and 199,247.94

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Solution

The fourth proportional to 301,399.63, 415,952.28 and 199,247.94 is: 274,975.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,399.63 : 415,952.28 = 199,247.94 : x
  2. Step 2: Convert to fraction form
    301,399.63/415,952.28 = 199,247.94/x
  3. Step 3: Cross multiply
    301,399.63x = 415,952.28 × 199,247.94
  4. Step 4: Simplify right side
    301,399.63x = 82,877,634,928.30
  5. Step 5: Solve for x
    x = 82,877,634,928.30/301,399.63
  6. Step 6: Final answer
    x = 274,975.90

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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.