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Finding the Fourth Proportional to 280,486.44, 420,418 and 213,706.40

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Solution

The fourth proportional to 280,486.44, 420,418 and 213,706.40 is: 320,322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,486.44 : 420,418 = 213,706.40 : x
  2. Step 2: Convert to fraction form
    280,486.44/420,418 = 213,706.40/x
  3. Step 3: Cross multiply
    280,486.44x = 420,418 × 213,706.40
  4. Step 4: Simplify right side
    280,486.44x = 89,846,017,275.20
  5. Step 5: Solve for x
    x = 89,846,017,275.20/280,486.44
  6. Step 6: Final answer
    x = 320,322.14

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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.