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Finding the Fourth Proportional to 420,432.86, 580,198.97 and 229,450.50

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Solution

The fourth proportional to 420,432.86, 580,198.97 and 229,450.50 is: 316,642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,432.86 : 580,198.97 = 229,450.50 : x
  2. Step 2: Convert to fraction form
    420,432.86/580,198.97 = 229,450.50/x
  3. Step 3: Cross multiply
    420,432.86x = 580,198.97 × 229,450.50
  4. Step 4: Simplify right side
    420,432.86x = 133,126,943,765.99
  5. Step 5: Solve for x
    x = 133,126,943,765.99/420,432.86
  6. Step 6: Final answer
    x = 316,642.58

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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.