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Finding the Fourth Proportional to 661,014.27, 991,544.93 and 211,676.76

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Solution

The fourth proportional to 661,014.27, 991,544.93 and 211,676.76 is: 317,522.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,014.27 : 991,544.93 = 211,676.76 : x
  2. Step 2: Convert to fraction form
    661,014.27/991,544.93 = 211,676.76/x
  3. Step 3: Cross multiply
    661,014.27x = 991,544.93 × 211,676.76
  4. Step 4: Simplify right side
    661,014.27x = 209,887,017,912.23
  5. Step 5: Solve for x
    x = 209,887,017,912.23/661,014.27
  6. Step 6: Final answer
    x = 317,522.67

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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.