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Finding the Fourth Proportional to 277,911.60, 416,284.20 and 218,464.08

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Solution

The fourth proportional to 277,911.60, 416,284.20 and 218,464.08 is: 327,237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,911.60 : 416,284.20 = 218,464.08 : x
  2. Step 2: Convert to fraction form
    277,911.60/416,284.20 = 218,464.08/x
  3. Step 3: Cross multiply
    277,911.60x = 416,284.20 × 218,464.08
  4. Step 4: Simplify right side
    277,911.60x = 90,943,144,771.54
  5. Step 5: Solve for x
    x = 90,943,144,771.54/277,911.60
  6. Step 6: Final answer
    x = 327,237.67

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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.