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Finding the Fourth Proportional to 209,644.96, 289,489.86 and 202,866.40

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Solution

The fourth proportional to 209,644.96, 289,489.86 and 202,866.40 is: 280,129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,644.96 : 289,489.86 = 202,866.40 : x
  2. Step 2: Convert to fraction form
    209,644.96/289,489.86 = 202,866.40/x
  3. Step 3: Cross multiply
    209,644.96x = 289,489.86 × 202,866.40
  4. Step 4: Simplify right side
    209,644.96x = 58,727,765,734.70
  5. Step 5: Solve for x
    x = 58,727,765,734.70/209,644.96
  6. Step 6: Final answer
    x = 280,129.63

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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.