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Finding the Fourth Proportional to 217,429.31, 300,054.92 and 120,634.94

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Solution

The fourth proportional to 217,429.31, 300,054.92 and 120,634.94 is: 166,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,429.31 : 300,054.92 = 120,634.94 : x
  2. Step 2: Convert to fraction form
    217,429.31/300,054.92 = 120,634.94/x
  3. Step 3: Cross multiply
    217,429.31x = 300,054.92 × 120,634.94
  4. Step 4: Simplify right side
    217,429.31x = 36,197,107,417.87
  5. Step 5: Solve for x
    x = 36,197,107,417.87/217,429.31
  6. Step 6: Final answer
    x = 166,477.59

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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.