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Finding the Fourth Proportional to 257,726.90, 355,680.88 and 144,556.94

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Solution

The fourth proportional to 257,726.90, 355,680.88 and 144,556.94 is: 199,498.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,726.90 : 355,680.88 = 144,556.94 : x
  2. Step 2: Convert to fraction form
    257,726.90/355,680.88 = 144,556.94/x
  3. Step 3: Cross multiply
    257,726.90x = 355,680.88 × 144,556.94
  4. Step 4: Simplify right side
    257,726.90x = 51,416,139,629.31
  5. Step 5: Solve for x
    x = 51,416,139,629.31/257,726.90
  6. Step 6: Final answer
    x = 199,498.54

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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.