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Finding the Fourth Proportional to 282,097.86, 389,295.39 and 154,773.96

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Solution

The fourth proportional to 282,097.86, 389,295.39 and 154,773.96 is: 213,588.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,097.86 : 389,295.39 = 154,773.96 : x
  2. Step 2: Convert to fraction form
    282,097.86/389,295.39 = 154,773.96/x
  3. Step 3: Cross multiply
    282,097.86x = 389,295.39 × 154,773.96
  4. Step 4: Simplify right side
    282,097.86x = 60,252,789,120.04
  5. Step 5: Solve for x
    x = 60,252,789,120.04/282,097.86
  6. Step 6: Final answer
    x = 213,588.25

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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.