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Finding the Fourth Proportional to 386,647.70, 580,022.49 and 143,455.68

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Solution

The fourth proportional to 386,647.70, 580,022.49 and 143,455.68 is: 215,202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,647.70 : 580,022.49 = 143,455.68 : x
  2. Step 2: Convert to fraction form
    386,647.70/580,022.49 = 143,455.68/x
  3. Step 3: Cross multiply
    386,647.70x = 580,022.49 × 143,455.68
  4. Step 4: Simplify right side
    386,647.70x = 83,207,521,809.66
  5. Step 5: Solve for x
    x = 83,207,521,809.66/386,647.70
  6. Step 6: Final answer
    x = 215,202.42

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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.