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Finding the Fourth Proportional to 209,211.20, 313,471.20 and 178,107.20

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Solution

The fourth proportional to 209,211.20, 313,471.20 and 178,107.20 is: 266,866.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,211.20 : 313,471.20 = 178,107.20 : x
  2. Step 2: Convert to fraction form
    209,211.20/313,471.20 = 178,107.20/x
  3. Step 3: Cross multiply
    209,211.20x = 313,471.20 × 178,107.20
  4. Step 4: Simplify right side
    209,211.20x = 55,831,477,712.64
  5. Step 5: Solve for x
    x = 55,831,477,712.64/209,211.20
  6. Step 6: Final answer
    x = 266,866.58

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1.5x scale

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.