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Finding the Fourth Proportional to 225,745.11, 311,567.93 and 171,477

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Solution

The fourth proportional to 225,745.11, 311,567.93 and 171,477 is: 236,668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,745.11 : 311,567.93 = 171,477 : x
  2. Step 2: Convert to fraction form
    225,745.11/311,567.93 = 171,477/x
  3. Step 3: Cross multiply
    225,745.11x = 311,567.93 × 171,477
  4. Step 4: Simplify right side
    225,745.11x = 53,426,733,932.61
  5. Step 5: Solve for x
    x = 53,426,733,932.61/225,745.11
  6. Step 6: Final answer
    x = 236,668.40

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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.