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Finding the Fourth Proportional to 420,491.36, 580,406.80 and 259,396.64

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Solution

The fourth proportional to 420,491.36, 580,406.80 and 259,396.64 is: 358,046.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,491.36 : 580,406.80 = 259,396.64 : x
  2. Step 2: Convert to fraction form
    420,491.36/580,406.80 = 259,396.64/x
  3. Step 3: Cross multiply
    420,491.36x = 580,406.80 × 259,396.64
  4. Step 4: Simplify right side
    420,491.36x = 150,555,573,753.15
  5. Step 5: Solve for x
    x = 150,555,573,753.15/420,491.36
  6. Step 6: Final answer
    x = 358,046.77

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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.