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Finding the Fourth Proportional to 282,065.38, 389,243.46 and 154,739.86

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Solution

The fourth proportional to 282,065.38, 389,243.46 and 154,739.86 is: 213,537.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,065.38 : 389,243.46 = 154,739.86 : x
  2. Step 2: Convert to fraction form
    282,065.38/389,243.46 = 154,739.86/x
  3. Step 3: Cross multiply
    282,065.38x = 389,243.46 × 154,739.86
  4. Step 4: Simplify right side
    282,065.38x = 60,231,478,506.32
  5. Step 5: Solve for x
    x = 60,231,478,506.32/282,065.38
  6. Step 6: Final answer
    x = 213,537.30

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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.