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Finding the Fourth Proportional to 306,409.46, 422,796.21 and 185,530.10

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Solution

The fourth proportional to 306,409.46, 422,796.21 and 185,530.10 is: 256,001.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,409.46 : 422,796.21 = 185,530.10 : x
  2. Step 2: Convert to fraction form
    306,409.46/422,796.21 = 185,530.10/x
  3. Step 3: Cross multiply
    306,409.46x = 422,796.21 × 185,530.10
  4. Step 4: Simplify right side
    306,409.46x = 78,441,423,120.92
  5. Step 5: Solve for x
    x = 78,441,423,120.92/306,409.46
  6. Step 6: Final answer
    x = 256,001.96

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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.