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Finding the Fourth Proportional to 284,692.80, 426,844.80 and 135,004.80

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Solution

The fourth proportional to 284,692.80, 426,844.80 and 135,004.80 is: 202,415.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,692.80 : 426,844.80 = 135,004.80 : x
  2. Step 2: Convert to fraction form
    284,692.80/426,844.80 = 135,004.80/x
  3. Step 3: Cross multiply
    284,692.80x = 426,844.80 × 135,004.80
  4. Step 4: Simplify right side
    284,692.80x = 57,626,096,855.04
  5. Step 5: Solve for x
    x = 57,626,096,855.04/284,692.80
  6. Step 6: Final answer
    x = 202,415.01

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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.