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Finding the Fourth Proportional to 389,736, 584,593.92 and 105,454.08

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Solution

The fourth proportional to 389,736, 584,593.92 and 105,454.08 is: 158,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,736 : 584,593.92 = 105,454.08 : x
  2. Step 2: Convert to fraction form
    389,736/584,593.92 = 105,454.08/x
  3. Step 3: Cross multiply
    389,736x = 584,593.92 × 105,454.08
  4. Step 4: Simplify right side
    389,736x = 61,647,814,007.19
  5. Step 5: Solve for x
    x = 61,647,814,007.19/389,736
  6. Step 6: Final answer
    x = 158,178.39

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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.