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Finding the Fourth Proportional to 210,729.28, 290,912.16 and 162,874.48

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Solution

The fourth proportional to 210,729.28, 290,912.16 and 162,874.48 is: 224,848.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,729.28 : 290,912.16 = 162,874.48 : x
  2. Step 2: Convert to fraction form
    210,729.28/290,912.16 = 162,874.48/x
  3. Step 3: Cross multiply
    210,729.28x = 290,912.16 × 162,874.48
  4. Step 4: Simplify right side
    210,729.28x = 47,382,166,785.68
  5. Step 5: Solve for x
    x = 47,382,166,785.68/210,729.28
  6. Step 6: Final answer
    x = 224,848.52

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1.5x scale

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.