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Finding the Fourth Proportional to 271,455.30, 407,018.93 and 121,667.67

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Solution

The fourth proportional to 271,455.30, 407,018.93 and 121,667.67 is: 182,427.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,455.30 : 407,018.93 = 121,667.67 : x
  2. Step 2: Convert to fraction form
    271,455.30/407,018.93 = 121,667.67/x
  3. Step 3: Cross multiply
    271,455.30x = 407,018.93 × 121,667.67
  4. Step 4: Simplify right side
    271,455.30x = 49,521,044,250.65
  5. Step 5: Solve for x
    x = 49,521,044,250.65/271,455.30
  6. Step 6: Final answer
    x = 182,427.99

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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.