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Finding the Fourth Proportional to 200,742.60, 300,822.30 and 170,999.40

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Solution

The fourth proportional to 200,742.60, 300,822.30 and 170,999.40 is: 256,250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,742.60 : 300,822.30 = 170,999.40 : x
  2. Step 2: Convert to fraction form
    200,742.60/300,822.30 = 170,999.40/x
  3. Step 3: Cross multiply
    200,742.60x = 300,822.30 × 170,999.40
  4. Step 4: Simplify right side
    200,742.60x = 51,440,432,806.62
  5. Step 5: Solve for x
    x = 51,440,432,806.62/200,742.60
  6. Step 6: Final answer
    x = 256,250.71

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1.5x scale

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.