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Finding the Fourth Proportional to 341,728.02, 471,806.37 and 305,855.82

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Solution

The fourth proportional to 341,728.02, 471,806.37 and 305,855.82 is: 422,279.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,728.02 : 471,806.37 = 305,855.82 : x
  2. Step 2: Convert to fraction form
    341,728.02/471,806.37 = 305,855.82/x
  3. Step 3: Cross multiply
    341,728.02x = 471,806.37 × 305,855.82
  4. Step 4: Simplify right side
    341,728.02x = 144,304,724,177.57
  5. Step 5: Solve for x
    x = 144,304,724,177.57/341,728.02
  6. Step 6: Final answer
    x = 422,279.46

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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.