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Finding the Fourth Proportional to 297,390, 410,583.97 and 204,415.77

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Solution

The fourth proportional to 297,390, 410,583.97 and 204,415.77 is: 282,221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,390 : 410,583.97 = 204,415.77 : x
  2. Step 2: Convert to fraction form
    297,390/410,583.97 = 204,415.77/x
  3. Step 3: Cross multiply
    297,390x = 410,583.97 × 204,415.77
  4. Step 4: Simplify right side
    297,390x = 83,929,838,377.21
  5. Step 5: Solve for x
    x = 83,929,838,377.21/297,390
  6. Step 6: Final answer
    x = 282,221.45

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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.