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Finding the Fourth Proportional to 282,105.46, 389,203.32 and 185,361.34

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Solution

The fourth proportional to 282,105.46, 389,203.32 and 185,361.34 is: 255,731.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,105.46 : 389,203.32 = 185,361.34 : x
  2. Step 2: Convert to fraction form
    282,105.46/389,203.32 = 185,361.34/x
  3. Step 3: Cross multiply
    282,105.46x = 389,203.32 × 185,361.34
  4. Step 4: Simplify right side
    282,105.46x = 72,143,248,927.65
  5. Step 5: Solve for x
    x = 72,143,248,927.65/282,105.46
  6. Step 6: Final answer
    x = 255,731.49

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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.