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Finding the Fourth Proportional to 384,245.75, 576,371.87 and 134,927.75

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Solution

The fourth proportional to 384,245.75, 576,371.87 and 134,927.75 is: 202,392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,245.75 : 576,371.87 = 134,927.75 : x
  2. Step 2: Convert to fraction form
    384,245.75/576,371.87 = 134,927.75/x
  3. Step 3: Cross multiply
    384,245.75x = 576,371.87 × 134,927.75
  4. Step 4: Simplify right side
    384,245.75x = 77,768,559,582.39
  5. Step 5: Solve for x
    x = 77,768,559,582.39/384,245.75
  6. Step 6: Final answer
    x = 202,392.76

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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.