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Finding the Fourth Proportional to 392,536.72, 541,692.08 and 229,221.28

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Solution

The fourth proportional to 392,536.72, 541,692.08 and 229,221.28 is: 316,320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,536.72 : 541,692.08 = 229,221.28 : x
  2. Step 2: Convert to fraction form
    392,536.72/541,692.08 = 229,221.28/x
  3. Step 3: Cross multiply
    392,536.72x = 541,692.08 × 229,221.28
  4. Step 4: Simplify right side
    392,536.72x = 124,167,351,943.46
  5. Step 5: Solve for x
    x = 124,167,351,943.46/392,536.72
  6. Step 6: Final answer
    x = 316,320.35

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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.