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Finding the Fourth Proportional to 306,955.56, 423,664.02 and 206,295.24

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Solution

The fourth proportional to 306,955.56, 423,664.02 and 206,295.24 is: 284,731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,955.56 : 423,664.02 = 206,295.24 : x
  2. Step 2: Convert to fraction form
    306,955.56/423,664.02 = 206,295.24/x
  3. Step 3: Cross multiply
    306,955.56x = 423,664.02 × 206,295.24
  4. Step 4: Simplify right side
    306,955.56x = 87,399,870,685.26
  5. Step 5: Solve for x
    x = 87,399,870,685.26/306,955.56
  6. Step 6: Final answer
    x = 284,731.35

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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.