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Finding the Fourth Proportional to 209,175.04, 313,463.04 and 162,208

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Solution

The fourth proportional to 209,175.04, 313,463.04 and 162,208 is: 243,079.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,175.04 : 313,463.04 = 162,208 : x
  2. Step 2: Convert to fraction form
    209,175.04/313,463.04 = 162,208/x
  3. Step 3: Cross multiply
    209,175.04x = 313,463.04 × 162,208
  4. Step 4: Simplify right side
    209,175.04x = 50,846,212,792.32
  5. Step 5: Solve for x
    x = 50,846,212,792.32/209,175.04
  6. Step 6: Final answer
    x = 243,079.73

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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.