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Finding the Fourth Proportional to 297,969.76, 446,954.60 and 209,618.60

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Solution

The fourth proportional to 297,969.76, 446,954.60 and 209,618.60 is: 314,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,969.76 : 446,954.60 = 209,618.60 : x
  2. Step 2: Convert to fraction form
    297,969.76/446,954.60 = 209,618.60/x
  3. Step 3: Cross multiply
    297,969.76x = 446,954.60 × 209,618.60
  4. Step 4: Simplify right side
    297,969.76x = 93,689,997,515.56
  5. Step 5: Solve for x
    x = 93,689,997,515.56/297,969.76
  6. Step 6: Final answer
    x = 314,427.87

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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.