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Finding the Fourth Proportional to 217,801, 299,632.26 and 208,469.80

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Solution

The fourth proportional to 217,801, 299,632.26 and 208,469.80 is: 286,795.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,801 : 299,632.26 = 208,469.80 : x
  2. Step 2: Convert to fraction form
    217,801/299,632.26 = 208,469.80/x
  3. Step 3: Cross multiply
    217,801x = 299,632.26 × 208,469.80
  4. Step 4: Simplify right side
    217,801x = 62,464,277,315.75
  5. Step 5: Solve for x
    x = 62,464,277,315.75/217,801
  6. Step 6: Final answer
    x = 286,795.18

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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.