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Finding the Fourth Proportional to 486,021.87, 728,948.79 and 219,720.51

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Solution

The fourth proportional to 486,021.87, 728,948.79 and 219,720.51 is: 329,542.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,021.87 : 728,948.79 = 219,720.51 : x
  2. Step 2: Convert to fraction form
    486,021.87/728,948.79 = 219,720.51/x
  3. Step 3: Cross multiply
    486,021.87x = 728,948.79 × 219,720.51
  4. Step 4: Simplify right side
    486,021.87x = 160,164,999,902.68
  5. Step 5: Solve for x
    x = 160,164,999,902.68/486,021.87
  6. Step 6: Final answer
    x = 329,542.78

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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.