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Finding the Fourth Proportional to 285,419.20, 428,128.80 and 267,923.20

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Solution

The fourth proportional to 285,419.20, 428,128.80 and 267,923.20 is: 401,884.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,419.20 : 428,128.80 = 267,923.20 : x
  2. Step 2: Convert to fraction form
    285,419.20/428,128.80 = 267,923.20/x
  3. Step 3: Cross multiply
    285,419.20x = 428,128.80 × 267,923.20
  4. Step 4: Simplify right side
    285,419.20x = 114,705,638,108.16
  5. Step 5: Solve for x
    x = 114,705,638,108.16/285,419.20
  6. Step 6: Final answer
    x = 401,884.80

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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.