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Finding the Fourth Proportional to 420,408.44, 580,175.97 and 229,434.11

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Solution

The fourth proportional to 420,408.44, 580,175.97 and 229,434.11 is: 316,625.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,408.44 : 580,175.97 = 229,434.11 : x
  2. Step 2: Convert to fraction form
    420,408.44/580,175.97 = 229,434.11/x
  3. Step 3: Cross multiply
    420,408.44x = 580,175.97 × 229,434.11
  4. Step 4: Simplify right side
    420,408.44x = 133,112,157,320.34
  5. Step 5: Solve for x
    x = 133,112,157,320.34/420,408.44
  6. Step 6: Final answer
    x = 316,625.80

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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.