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Finding the Fourth Proportional to 320,692.57, 481,002 and 84,053.91

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Solution

The fourth proportional to 320,692.57, 481,002 and 84,053.91 is: 126,071.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,692.57 : 481,002 = 84,053.91 : x
  2. Step 2: Convert to fraction form
    320,692.57/481,002 = 84,053.91/x
  3. Step 3: Cross multiply
    320,692.57x = 481,002 × 84,053.91
  4. Step 4: Simplify right side
    320,692.57x = 40,430,098,817.82
  5. Step 5: Solve for x
    x = 40,430,098,817.82/320,692.57
  6. Step 6: Final answer
    x = 126,071.21

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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.