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Finding the Fourth Proportional to 288,269, 397,696.68 and 192,624.20

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Solution

The fourth proportional to 288,269, 397,696.68 and 192,624.20 is: 265,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,269 : 397,696.68 = 192,624.20 : x
  2. Step 2: Convert to fraction form
    288,269/397,696.68 = 192,624.20/x
  3. Step 3: Cross multiply
    288,269x = 397,696.68 × 192,624.20
  4. Step 4: Simplify right side
    288,269x = 76,606,004,827.66
  5. Step 5: Solve for x
    x = 76,606,004,827.66/288,269
  6. Step 6: Final answer
    x = 265,744.86

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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.