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Finding the Fourth Proportional to 285,661.28, 428,357.62 and 105,622.32

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Solution

The fourth proportional to 285,661.28, 428,357.62 and 105,622.32 is: 158,383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,661.28 : 428,357.62 = 105,622.32 : x
  2. Step 2: Convert to fraction form
    285,661.28/428,357.62 = 105,622.32/x
  3. Step 3: Cross multiply
    285,661.28x = 428,357.62 × 105,622.32
  4. Step 4: Simplify right side
    285,661.28x = 45,244,125,614.08
  5. Step 5: Solve for x
    x = 45,244,125,614.08/285,661.28
  6. Step 6: Final answer
    x = 158,383.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.