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Finding the Fourth Proportional to 209,269.70, 313,904.55 and 201,104.90

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Solution

The fourth proportional to 209,269.70, 313,904.55 and 201,104.90 is: 301,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,269.70 : 313,904.55 = 201,104.90 : x
  2. Step 2: Convert to fraction form
    209,269.70/313,904.55 = 201,104.90/x
  3. Step 3: Cross multiply
    209,269.70x = 313,904.55 × 201,104.90
  4. Step 4: Simplify right side
    209,269.70x = 63,127,743,137.30
  5. Step 5: Solve for x
    x = 63,127,743,137.30/209,269.70
  6. Step 6: Final answer
    x = 301,657.35

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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.