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Finding the Fourth Proportional to 280,486.44, 420,418.02 and 213,706.41

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Solution

The fourth proportional to 280,486.44, 420,418.02 and 213,706.41 is: 320,322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,486.44 : 420,418.02 = 213,706.41 : x
  2. Step 2: Convert to fraction form
    280,486.44/420,418.02 = 213,706.41/x
  3. Step 3: Cross multiply
    280,486.44x = 420,418.02 × 213,706.41
  4. Step 4: Simplify right side
    280,486.44x = 89,846,025,753.51
  5. Step 5: Solve for x
    x = 89,846,025,753.51/280,486.44
  6. Step 6: Final answer
    x = 320,322.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.