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Finding the Fourth Proportional to 420,424.94, 580,198.74 and 229,450.64

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Solution

The fourth proportional to 420,424.94, 580,198.74 and 229,450.64 is: 316,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,424.94 : 580,198.74 = 229,450.64 : x
  2. Step 2: Convert to fraction form
    420,424.94/580,198.74 = 229,450.64/x
  3. Step 3: Cross multiply
    420,424.94x = 580,198.74 × 229,450.64
  4. Step 4: Simplify right side
    420,424.94x = 133,126,972,220.19
  5. Step 5: Solve for x
    x = 133,126,972,220.19/420,424.94
  6. Step 6: Final answer
    x = 316,648.61

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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.