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Finding the Fourth Proportional to 305,765.70, 422,156.51 and 198,641.04

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Solution

The fourth proportional to 305,765.70, 422,156.51 and 198,641.04 is: 274,254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,765.70 : 422,156.51 = 198,641.04 : x
  2. Step 2: Convert to fraction form
    305,765.70/422,156.51 = 198,641.04/x
  3. Step 3: Cross multiply
    305,765.70x = 422,156.51 × 198,641.04
  4. Step 4: Simplify right side
    305,765.70x = 83,857,608,189.17
  5. Step 5: Solve for x
    x = 83,857,608,189.17/305,765.70
  6. Step 6: Final answer
    x = 274,254.46

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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.