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Finding the Fourth Proportional to 271,980.96, 407,971.38 and 84,992.46

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Solution

The fourth proportional to 271,980.96, 407,971.38 and 84,992.46 is: 127,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,980.96 : 407,971.38 = 84,992.46 : x
  2. Step 2: Convert to fraction form
    271,980.96/407,971.38 = 84,992.46/x
  3. Step 3: Cross multiply
    271,980.96x = 407,971.38 × 84,992.46
  4. Step 4: Simplify right side
    271,980.96x = 34,674,491,195.79
  5. Step 5: Solve for x
    x = 34,674,491,195.79/271,980.96
  6. Step 6: Final answer
    x = 127,488.67

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1.5x scale

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.