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Finding the Fourth Proportional to 282,451.80, 389,620.80 and 169,208.96

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Solution

The fourth proportional to 282,451.80, 389,620.80 and 169,208.96 is: 233,410.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,451.80 : 389,620.80 = 169,208.96 : x
  2. Step 2: Convert to fraction form
    282,451.80/389,620.80 = 169,208.96/x
  3. Step 3: Cross multiply
    282,451.80x = 389,620.80 × 169,208.96
  4. Step 4: Simplify right side
    282,451.80x = 65,927,330,362.37
  5. Step 5: Solve for x
    x = 65,927,330,362.37/282,451.80
  6. Step 6: Final answer
    x = 233,410.91

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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.