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Finding the Fourth Proportional to 259,945, 358,725.06 and 140,713

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Solution

The fourth proportional to 259,945, 358,725.06 and 140,713 is: 194,184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,945 : 358,725.06 = 140,713 : x
  2. Step 2: Convert to fraction form
    259,945/358,725.06 = 140,713/x
  3. Step 3: Cross multiply
    259,945x = 358,725.06 × 140,713
  4. Step 4: Simplify right side
    259,945x = 50,477,279,367.78
  5. Step 5: Solve for x
    x = 50,477,279,367.78/259,945
  6. Step 6: Final answer
    x = 194,184.46

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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.