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Finding the Fourth Proportional to 674,400.80, 1,011,471.60 and 201,101.60

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Solution

The fourth proportional to 674,400.80, 1,011,471.60 and 201,101.60 is: 301,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,400.80 : 1,011,471.60 = 201,101.60 : x
  2. Step 2: Convert to fraction form
    674,400.80/1,011,471.60 = 201,101.60/x
  3. Step 3: Cross multiply
    674,400.80x = 1,011,471.60 × 201,101.60
  4. Step 4: Simplify right side
    674,400.80x = 203,408,557,114.56
  5. Step 5: Solve for x
    x = 203,408,557,114.56/674,400.80
  6. Step 6: Final answer
    x = 301,613.75

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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.