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Finding the Fourth Proportional to 284,212.00, 392,198.78 and 161,692.84

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Solution

The fourth proportional to 284,212.00, 392,198.78 and 161,692.84 is: 223,128.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,212.00 : 392,198.78 = 161,692.84 : x
  2. Step 2: Convert to fraction form
    284,212.00/392,198.78 = 161,692.84/x
  3. Step 3: Cross multiply
    284,212.00x = 392,198.78 × 161,692.84
  4. Step 4: Simplify right side
    284,212.00x = 63,415,734,567.69
  5. Step 5: Solve for x
    x = 63,415,734,567.69/284,212.00
  6. Step 6: Final answer
    x = 223,128.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.