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Finding the Fourth Proportional to 280,653.80, 421,085.25 and 168,414.53

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Solution

The fourth proportional to 280,653.80, 421,085.25 and 168,414.53 is: 252,684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,653.80 : 421,085.25 = 168,414.53 : x
  2. Step 2: Convert to fraction form
    280,653.80/421,085.25 = 168,414.53/x
  3. Step 3: Cross multiply
    280,653.80x = 421,085.25 × 168,414.53
  4. Step 4: Simplify right side
    280,653.80x = 70,916,872,363.26
  5. Step 5: Solve for x
    x = 70,916,872,363.26/280,653.80
  6. Step 6: Final answer
    x = 252,684.53

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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.