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Finding the Fourth Proportional to 269,321.60, 403,982.40 and 257,074.40

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Solution

The fourth proportional to 269,321.60, 403,982.40 and 257,074.40 is: 385,611.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,321.60 : 403,982.40 = 257,074.40 : x
  2. Step 2: Convert to fraction form
    269,321.60/403,982.40 = 257,074.40/x
  3. Step 3: Cross multiply
    269,321.60x = 403,982.40 × 257,074.40
  4. Step 4: Simplify right side
    269,321.60x = 103,853,533,090.56
  5. Step 5: Solve for x
    x = 103,853,533,090.56/269,321.60
  6. Step 6: Final answer
    x = 385,611.60

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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.