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Finding the Fourth Proportional to 282,593.84, 389,978.28 and 161,734.48

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Solution

The fourth proportional to 282,593.84, 389,978.28 and 161,734.48 is: 223,192.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,593.84 : 389,978.28 = 161,734.48 : x
  2. Step 2: Convert to fraction form
    282,593.84/389,978.28 = 161,734.48/x
  3. Step 3: Cross multiply
    282,593.84x = 389,978.28 × 161,734.48
  4. Step 4: Simplify right side
    282,593.84x = 63,072,934,327.09
  5. Step 5: Solve for x
    x = 63,072,934,327.09/282,593.84
  6. Step 6: Final answer
    x = 223,192.88

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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.