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Finding the Fourth Proportional to 257,279.56, 355,046.88 and 149,923.24

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Solution

The fourth proportional to 257,279.56, 355,046.88 and 149,923.24 is: 206,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,279.56 : 355,046.88 = 149,923.24 : x
  2. Step 2: Convert to fraction form
    257,279.56/355,046.88 = 149,923.24/x
  3. Step 3: Cross multiply
    257,279.56x = 355,046.88 × 149,923.24
  4. Step 4: Simplify right side
    257,279.56x = 53,229,778,601.49
  5. Step 5: Solve for x
    x = 53,229,778,601.49/257,279.56
  6. Step 6: Final answer
    x = 206,894.70

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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.