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Finding the Fourth Proportional to 386,790, 580,184.48 and 146,903.44

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Solution

The fourth proportional to 386,790, 580,184.48 and 146,903.44 is: 220,354.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,790 : 580,184.48 = 146,903.44 : x
  2. Step 2: Convert to fraction form
    386,790/580,184.48 = 146,903.44/x
  3. Step 3: Cross multiply
    386,790x = 580,184.48 × 146,903.44
  4. Step 4: Simplify right side
    386,790x = 85,231,093,761.63
  5. Step 5: Solve for x
    x = 85,231,093,761.63/386,790
  6. Step 6: Final answer
    x = 220,354.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.