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Finding the Fourth Proportional to 420,835.32, 580,771.62 and 229,850.28

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Solution

The fourth proportional to 420,835.32, 580,771.62 and 229,850.28 is: 317,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,835.32 : 580,771.62 = 229,850.28 : x
  2. Step 2: Convert to fraction form
    420,835.32/580,771.62 = 229,850.28/x
  3. Step 3: Cross multiply
    420,835.32x = 580,771.62 × 229,850.28
  4. Step 4: Simplify right side
    420,835.32x = 133,490,519,473.05
  5. Step 5: Solve for x
    x = 133,490,519,473.05/420,835.32
  6. Step 6: Final answer
    x = 317,203.70

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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.