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Finding the Fourth Proportional to 420,393.20, 580,137.84 and 229,409.84

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Solution

The fourth proportional to 420,393.20, 580,137.84 and 229,409.84 is: 316,582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,393.20 : 580,137.84 = 229,409.84 : x
  2. Step 2: Convert to fraction form
    420,393.20/580,137.84 = 229,409.84/x
  3. Step 3: Cross multiply
    420,393.20x = 580,137.84 × 229,409.84
  4. Step 4: Simplify right side
    420,393.20x = 133,089,329,052.35
  5. Step 5: Solve for x
    x = 133,089,329,052.35/420,393.20
  6. Step 6: Final answer
    x = 316,582.97

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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.