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Finding the Fourth Proportional to 417,855.29, 576,640.27 and 226,868.70

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Solution

The fourth proportional to 417,855.29, 576,640.27 and 226,868.70 is: 313,078.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,855.29 : 576,640.27 = 226,868.70 : x
  2. Step 2: Convert to fraction form
    417,855.29/576,640.27 = 226,868.70/x
  3. Step 3: Cross multiply
    417,855.29x = 576,640.27 × 226,868.70
  4. Step 4: Simplify right side
    417,855.29x = 130,821,628,422.55
  5. Step 5: Solve for x
    x = 130,821,628,422.55/417,855.29
  6. Step 6: Final answer
    x = 313,078.79

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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.