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Finding the Fourth Proportional to 201,892.60, 302,838.90 and 200,510.20

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Solution

The fourth proportional to 201,892.60, 302,838.90 and 200,510.20 is: 300,765.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,892.60 : 302,838.90 = 200,510.20 : x
  2. Step 2: Convert to fraction form
    201,892.60/302,838.90 = 200,510.20/x
  3. Step 3: Cross multiply
    201,892.60x = 302,838.90 × 200,510.20
  4. Step 4: Simplify right side
    201,892.60x = 60,722,288,406.78
  5. Step 5: Solve for x
    x = 60,722,288,406.78/201,892.60
  6. Step 6: Final answer
    x = 300,765.30

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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.