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Finding the Fourth Proportional to 389,772.54, 584,613.45 and 105,449.58

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Solution

The fourth proportional to 389,772.54, 584,613.45 and 105,449.58 is: 158,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,772.54 : 584,613.45 = 105,449.58 : x
  2. Step 2: Convert to fraction form
    389,772.54/584,613.45 = 105,449.58/x
  3. Step 3: Cross multiply
    389,772.54x = 584,613.45 × 105,449.58
  4. Step 4: Simplify right side
    389,772.54x = 61,647,242,764.85
  5. Step 5: Solve for x
    x = 61,647,242,764.85/389,772.54
  6. Step 6: Final answer
    x = 158,162.10

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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.