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Finding the Fourth Proportional to 257,480.75, 355,345.31 and 144,325.37

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Solution

The fourth proportional to 257,480.75, 355,345.31 and 144,325.37 is: 199,181.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,480.75 : 355,345.31 = 144,325.37 : x
  2. Step 2: Convert to fraction form
    257,480.75/355,345.31 = 144,325.37/x
  3. Step 3: Cross multiply
    257,480.75x = 355,345.31 × 144,325.37
  4. Step 4: Simplify right side
    257,480.75x = 51,285,342,621.89
  5. Step 5: Solve for x
    x = 51,285,342,621.89/257,480.75
  6. Step 6: Final answer
    x = 199,181.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.