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Finding the Fourth Proportional to 282,247.94, 389,503.41 and 154,924.58

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Solution

The fourth proportional to 282,247.94, 389,503.41 and 154,924.58 is: 213,796.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,247.94 : 389,503.41 = 154,924.58 : x
  2. Step 2: Convert to fraction form
    282,247.94/389,503.41 = 154,924.58/x
  3. Step 3: Cross multiply
    282,247.94x = 389,503.41 × 154,924.58
  4. Step 4: Simplify right side
    282,247.94x = 60,343,652,202.82
  5. Step 5: Solve for x
    x = 60,343,652,202.82/282,247.94
  6. Step 6: Final answer
    x = 213,796.61

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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.