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Finding the Fourth Proportional to 200,445.23, 300,723.20 and 178,412.57

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Solution

The fourth proportional to 200,445.23, 300,723.20 and 178,412.57 is: 267,668.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,445.23 : 300,723.20 = 178,412.57 : x
  2. Step 2: Convert to fraction form
    200,445.23/300,723.20 = 178,412.57/x
  3. Step 3: Cross multiply
    200,445.23x = 300,723.20 × 178,412.57
  4. Step 4: Simplify right side
    200,445.23x = 53,652,797,020.98
  5. Step 5: Solve for x
    x = 53,652,797,020.98/200,445.23
  6. Step 6: Final answer
    x = 267,668.12

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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.