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Finding the Fourth Proportional to 288,241.74, 397,297.71 and 192,713.58

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Solution

The fourth proportional to 288,241.74, 397,297.71 and 192,713.58 is: 265,626.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,241.74 : 397,297.71 = 192,713.58 : x
  2. Step 2: Convert to fraction form
    288,241.74/397,297.71 = 192,713.58/x
  3. Step 3: Cross multiply
    288,241.74x = 397,297.71 × 192,713.58
  4. Step 4: Simplify right side
    288,241.74x = 76,564,664,019.90
  5. Step 5: Solve for x
    x = 76,564,664,019.90/288,241.74
  6. Step 6: Final answer
    x = 265,626.57

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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.