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Finding the Fourth Proportional to 305,830.06, 422,045.50 and 171,694.06

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Solution

The fourth proportional to 305,830.06, 422,045.50 and 171,694.06 is: 236,937.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,830.06 : 422,045.50 = 171,694.06 : x
  2. Step 2: Convert to fraction form
    305,830.06/422,045.50 = 171,694.06/x
  3. Step 3: Cross multiply
    305,830.06x = 422,045.50 × 171,694.06
  4. Step 4: Simplify right side
    305,830.06x = 72,462,705,399.73
  5. Step 5: Solve for x
    x = 72,462,705,399.73/305,830.06
  6. Step 6: Final answer
    x = 236,937.81

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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.