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Finding the Fourth Proportional to 297,016.32, 409,881.92 and 162,880

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Solution

The fourth proportional to 297,016.32, 409,881.92 and 162,880 is: 224,774.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,016.32 : 409,881.92 = 162,880 : x
  2. Step 2: Convert to fraction form
    297,016.32/409,881.92 = 162,880/x
  3. Step 3: Cross multiply
    297,016.32x = 409,881.92 × 162,880
  4. Step 4: Simplify right side
    297,016.32x = 66,761,567,129.60
  5. Step 5: Solve for x
    x = 66,761,567,129.60/297,016.32
  6. Step 6: Final answer
    x = 224,774.07

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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.