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Finding the Fourth Proportional to 257,274.88, 355,050.34 and 149,827.56

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Solution

The fourth proportional to 257,274.88, 355,050.34 and 149,827.56 is: 206,768.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,274.88 : 355,050.34 = 149,827.56 : x
  2. Step 2: Convert to fraction form
    257,274.88/355,050.34 = 149,827.56/x
  3. Step 3: Cross multiply
    257,274.88x = 355,050.34 × 149,827.56
  4. Step 4: Simplify right side
    257,274.88x = 53,196,326,119.37
  5. Step 5: Solve for x
    x = 53,196,326,119.37/257,274.88
  6. Step 6: Final answer
    x = 206,768.44

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1.5x scale

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.