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Finding the Fourth Proportional to 314,277.96, 471,414.42 and 208,137

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Solution

The fourth proportional to 314,277.96, 471,414.42 and 208,137 is: 312,203.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,277.96 : 471,414.42 = 208,137 : x
  2. Step 2: Convert to fraction form
    314,277.96/471,414.42 = 208,137/x
  3. Step 3: Cross multiply
    314,277.96x = 471,414.42 × 208,137
  4. Step 4: Simplify right side
    314,277.96x = 98,118,783,135.54
  5. Step 5: Solve for x
    x = 98,118,783,135.54/314,277.96
  6. Step 6: Final answer
    x = 312,203.83

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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.