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Finding the Fourth Proportional to 282,363.88, 389,668.44 and 155,040

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Solution

The fourth proportional to 282,363.88, 389,668.44 and 155,040 is: 213,958.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,363.88 : 389,668.44 = 155,040 : x
  2. Step 2: Convert to fraction form
    282,363.88/389,668.44 = 155,040/x
  3. Step 3: Cross multiply
    282,363.88x = 389,668.44 × 155,040
  4. Step 4: Simplify right side
    282,363.88x = 60,414,194,937.60
  5. Step 5: Solve for x
    x = 60,414,194,937.60/282,363.88
  6. Step 6: Final answer
    x = 213,958.65

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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.