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Finding the Fourth Proportional to 297,385, 410,119.05 and 195,370

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Solution

The fourth proportional to 297,385, 410,119.05 and 195,370 is: 269,431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,385 : 410,119.05 = 195,370 : x
  2. Step 2: Convert to fraction form
    297,385/410,119.05 = 195,370/x
  3. Step 3: Cross multiply
    297,385x = 410,119.05 × 195,370
  4. Step 4: Simplify right side
    297,385x = 80,124,958,798.50
  5. Step 5: Solve for x
    x = 80,124,958,798.50/297,385
  6. Step 6: Final answer
    x = 269,431.74

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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.