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Finding the Fourth Proportional to 642,198.13, 886,233.48 and 355,736.77

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Solution

The fourth proportional to 642,198.13, 886,233.48 and 355,736.77 is: 490,916.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,198.13 : 886,233.48 = 355,736.77 : x
  2. Step 2: Convert to fraction form
    642,198.13/886,233.48 = 355,736.77/x
  3. Step 3: Cross multiply
    642,198.13x = 886,233.48 × 355,736.77
  4. Step 4: Simplify right side
    642,198.13x = 315,265,835,641.06
  5. Step 5: Solve for x
    x = 315,265,835,641.06/642,198.13
  6. Step 6: Final answer
    x = 490,916.78

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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.