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Finding the Fourth Proportional to 257,245.88, 355,010.24 and 149,798.57

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Solution

The fourth proportional to 257,245.88, 355,010.24 and 149,798.57 is: 206,728.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,245.88 : 355,010.24 = 149,798.57 : x
  2. Step 2: Convert to fraction form
    257,245.88/355,010.24 = 149,798.57/x
  3. Step 3: Cross multiply
    257,245.88x = 355,010.24 × 149,798.57
  4. Step 4: Simplify right side
    257,245.88x = 53,180,024,886.80
  5. Step 5: Solve for x
    x = 53,180,024,886.80/257,245.88
  6. Step 6: Final answer
    x = 206,728.39

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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.