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Finding the Fourth Proportional to 384,496.49, 576,243.08 and 278,238.36

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Solution

The fourth proportional to 384,496.49, 576,243.08 and 278,238.36 is: 416,994.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,496.49 : 576,243.08 = 278,238.36 : x
  2. Step 2: Convert to fraction form
    384,496.49/576,243.08 = 278,238.36/x
  3. Step 3: Cross multiply
    384,496.49x = 576,243.08 × 278,238.36
  4. Step 4: Simplify right side
    384,496.49x = 160,332,929,540.55
  5. Step 5: Solve for x
    x = 160,332,929,540.55/384,496.49
  6. Step 6: Final answer
    x = 416,994.52

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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.