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Finding the Fourth Proportional to 306,525.12, 422,874.72 and 187,224

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Solution

The fourth proportional to 306,525.12, 422,874.72 and 187,224 is: 258,289.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,525.12 : 422,874.72 = 187,224 : x
  2. Step 2: Convert to fraction form
    306,525.12/422,874.72 = 187,224/x
  3. Step 3: Cross multiply
    306,525.12x = 422,874.72 × 187,224
  4. Step 4: Simplify right side
    306,525.12x = 79,172,296,577.28
  5. Step 5: Solve for x
    x = 79,172,296,577.28/306,525.12
  6. Step 6: Final answer
    x = 258,289.75

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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.