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Finding the Fourth Proportional to 257,276.88, 355,053.10 and 149,829.56

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Solution

The fourth proportional to 257,276.88, 355,053.10 and 149,829.56 is: 206,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,276.88 : 355,053.10 = 149,829.56 : x
  2. Step 2: Convert to fraction form
    257,276.88/355,053.10 = 149,829.56/x
  3. Step 3: Cross multiply
    257,276.88x = 355,053.10 × 149,829.56
  4. Step 4: Simplify right side
    257,276.88x = 53,197,449,749.64
  5. Step 5: Solve for x
    x = 53,197,449,749.64/257,276.88
  6. Step 6: Final answer
    x = 206,771.20

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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.