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Finding the Fourth Proportional to 287,289.36, 396,455.46 and 159,964.96

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Solution

The fourth proportional to 287,289.36, 396,455.46 and 159,964.96 is: 220,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,289.36 : 396,455.46 = 159,964.96 : x
  2. Step 2: Convert to fraction form
    287,289.36/396,455.46 = 159,964.96/x
  3. Step 3: Cross multiply
    287,289.36x = 396,455.46 × 159,964.96
  4. Step 4: Simplify right side
    287,289.36x = 63,418,981,800.68
  5. Step 5: Solve for x
    x = 63,418,981,800.68/287,289.36
  6. Step 6: Final answer
    x = 220,749.50

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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.