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Finding the Fourth Proportional to 209,993.69, 287,472.86 and 208,492.85

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Solution

The fourth proportional to 209,993.69, 287,472.86 and 208,492.85 is: 285,418.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,993.69 : 287,472.86 = 208,492.85 : x
  2. Step 2: Convert to fraction form
    209,993.69/287,472.86 = 208,492.85/x
  3. Step 3: Cross multiply
    209,993.69x = 287,472.86 × 208,492.85
  4. Step 4: Simplify right side
    209,993.69x = 59,936,033,399.22
  5. Step 5: Solve for x
    x = 59,936,033,399.22/209,993.69
  6. Step 6: Final answer
    x = 285,418.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.