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Finding the Fourth Proportional to 491,145.54, 737,000.73 and 206,813.67

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Solution

The fourth proportional to 491,145.54, 737,000.73 and 206,813.67 is: 310,339.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,145.54 : 737,000.73 = 206,813.67 : x
  2. Step 2: Convert to fraction form
    491,145.54/737,000.73 = 206,813.67/x
  3. Step 3: Cross multiply
    491,145.54x = 737,000.73 × 206,813.67
  4. Step 4: Simplify right side
    491,145.54x = 152,421,825,763.98
  5. Step 5: Solve for x
    x = 152,421,825,763.98/491,145.54
  6. Step 6: Final answer
    x = 310,339.43

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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.