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Finding the Fourth Proportional to 217,197, 299,749.14 and 127,790.28

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Solution

The fourth proportional to 217,197, 299,749.14 and 127,790.28 is: 176,360.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,197 : 299,749.14 = 127,790.28 : x
  2. Step 2: Convert to fraction form
    217,197/299,749.14 = 127,790.28/x
  3. Step 3: Cross multiply
    217,197x = 299,749.14 × 127,790.28
  4. Step 4: Simplify right side
    217,197x = 38,305,026,530.36
  5. Step 5: Solve for x
    x = 38,305,026,530.36/217,197
  6. Step 6: Final answer
    x = 176,360.75

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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.