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Finding the Fourth Proportional to 281,408.75, 388,364.51 and 160,552.70

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Solution

The fourth proportional to 281,408.75, 388,364.51 and 160,552.70 is: 221,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,408.75 : 388,364.51 = 160,552.70 : x
  2. Step 2: Convert to fraction form
    281,408.75/388,364.51 = 160,552.70/x
  3. Step 3: Cross multiply
    281,408.75x = 388,364.51 × 160,552.70
  4. Step 4: Simplify right side
    281,408.75x = 62,352,970,664.68
  5. Step 5: Solve for x
    x = 62,352,970,664.68/281,408.75
  6. Step 6: Final answer
    x = 221,574.38

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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.