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Finding the Fourth Proportional to 269,319.60, 403,979.40 and 257,072.40

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Solution

The fourth proportional to 269,319.60, 403,979.40 and 257,072.40 is: 385,608.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,319.60 : 403,979.40 = 257,072.40 : x
  2. Step 2: Convert to fraction form
    269,319.60/403,979.40 = 257,072.40/x
  3. Step 3: Cross multiply
    269,319.60x = 403,979.40 × 257,072.40
  4. Step 4: Simplify right side
    269,319.60x = 103,851,953,908.56
  5. Step 5: Solve for x
    x = 103,851,953,908.56/269,319.60
  6. Step 6: Final answer
    x = 385,608.60

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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.