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Finding the Fourth Proportional to 389,449.68, 537,080.32 and 298,809.44

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Solution

The fourth proportional to 389,449.68, 537,080.32 and 298,809.44 is: 412,080.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,449.68 : 537,080.32 = 298,809.44 : x
  2. Step 2: Convert to fraction form
    389,449.68/537,080.32 = 298,809.44/x
  3. Step 3: Cross multiply
    389,449.68x = 537,080.32 × 298,809.44
  4. Step 4: Simplify right side
    389,449.68x = 160,484,669,654.22
  5. Step 5: Solve for x
    x = 160,484,669,654.22/389,449.68
  6. Step 6: Final answer
    x = 412,080.63

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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.