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Finding the Fourth Proportional to 269,709.75, 372,339.33 and 197,031

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Solution

The fourth proportional to 269,709.75, 372,339.33 and 197,031 is: 272,004.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,709.75 : 372,339.33 = 197,031 : x
  2. Step 2: Convert to fraction form
    269,709.75/372,339.33 = 197,031/x
  3. Step 3: Cross multiply
    269,709.75x = 372,339.33 × 197,031
  4. Step 4: Simplify right side
    269,709.75x = 73,362,390,529.23
  5. Step 5: Solve for x
    x = 73,362,390,529.23/269,709.75
  6. Step 6: Final answer
    x = 272,004.96

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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.