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Finding the Fourth Proportional to 306,465.12, 422,791.92 and 187,164

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Solution

The fourth proportional to 306,465.12, 422,791.92 and 187,164 is: 258,206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,465.12 : 422,791.92 = 187,164 : x
  2. Step 2: Convert to fraction form
    306,465.12/422,791.92 = 187,164/x
  3. Step 3: Cross multiply
    306,465.12x = 422,791.92 × 187,164
  4. Step 4: Simplify right side
    306,465.12x = 79,131,426,914.88
  5. Step 5: Solve for x
    x = 79,131,426,914.88/306,465.12
  6. Step 6: Final answer
    x = 258,206.96

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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.