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Finding the Fourth Proportional to 306,491.79, 422,952.06 and 177,435.72

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Solution

The fourth proportional to 306,491.79, 422,952.06 and 177,435.72 is: 244,857.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,491.79 : 422,952.06 = 177,435.72 : x
  2. Step 2: Convert to fraction form
    306,491.79/422,952.06 = 177,435.72/x
  3. Step 3: Cross multiply
    306,491.79x = 422,952.06 × 177,435.72
  4. Step 4: Simplify right side
    306,491.79x = 75,046,803,772.37
  5. Step 5: Solve for x
    x = 75,046,803,772.37/306,491.79
  6. Step 6: Final answer
    x = 244,857.47

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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.