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Finding the Fourth Proportional to 297,479.90, 410,519.86 and 161,511.15

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Solution

The fourth proportional to 297,479.90, 410,519.86 and 161,511.15 is: 222,884.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,479.90 : 410,519.86 = 161,511.15 : x
  2. Step 2: Convert to fraction form
    297,479.90/410,519.86 = 161,511.15/x
  3. Step 3: Cross multiply
    297,479.90x = 410,519.86 × 161,511.15
  4. Step 4: Simplify right side
    297,479.90x = 66,303,534,686.44
  5. Step 5: Solve for x
    x = 66,303,534,686.44/297,479.90
  6. Step 6: Final answer
    x = 222,884.08

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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.