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Finding the Fourth Proportional to 262,930, 362,843.40 and 149,818.36

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Solution

The fourth proportional to 262,930, 362,843.40 and 149,818.36 is: 206,749.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,930 : 362,843.40 = 149,818.36 : x
  2. Step 2: Convert to fraction form
    262,930/362,843.40 = 149,818.36/x
  3. Step 3: Cross multiply
    262,930x = 362,843.40 × 149,818.36
  4. Step 4: Simplify right side
    262,930x = 54,360,603,124.82
  5. Step 5: Solve for x
    x = 54,360,603,124.82/262,930
  6. Step 6: Final answer
    x = 206,749.34

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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.