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Finding the Fourth Proportional to 282,483.38, 389,894.34 and 161,694.48

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Solution

The fourth proportional to 282,483.38, 389,894.34 and 161,694.48 is: 223,176.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,483.38 : 389,894.34 = 161,694.48 : x
  2. Step 2: Convert to fraction form
    282,483.38/389,894.34 = 161,694.48/x
  3. Step 3: Cross multiply
    282,483.38x = 389,894.34 × 161,694.48
  4. Step 4: Simplify right side
    282,483.38x = 63,043,762,561.24
  5. Step 5: Solve for x
    x = 63,043,762,561.24/282,483.38
  6. Step 6: Final answer
    x = 223,176.89

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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.