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Finding the Fourth Proportional to 267,817.60, 401,704.64 and 90,320.80

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Solution

The fourth proportional to 267,817.60, 401,704.64 and 90,320.80 is: 135,473.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,817.60 : 401,704.64 = 90,320.80 : x
  2. Step 2: Convert to fraction form
    267,817.60/401,704.64 = 90,320.80/x
  3. Step 3: Cross multiply
    267,817.60x = 401,704.64 × 90,320.80
  4. Step 4: Simplify right side
    267,817.60x = 36,282,284,448.51
  5. Step 5: Solve for x
    x = 36,282,284,448.51/267,817.60
  6. Step 6: Final answer
    x = 135,473.86

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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.