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Finding the Fourth Proportional to 298,139.52, 411,616.32 and 205,165.44

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Solution

The fourth proportional to 298,139.52, 411,616.32 and 205,165.44 is: 283,254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,139.52 : 411,616.32 = 205,165.44 : x
  2. Step 2: Convert to fraction form
    298,139.52/411,616.32 = 205,165.44/x
  3. Step 3: Cross multiply
    298,139.52x = 411,616.32 × 205,165.44
  4. Step 4: Simplify right side
    298,139.52x = 84,449,443,403.98
  5. Step 5: Solve for x
    x = 84,449,443,403.98/298,139.52
  6. Step 6: Final answer
    x = 283,254.78

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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.