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Finding the Fourth Proportional to 282,012.66, 389,170.74 and 154,687.14

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Solution

The fourth proportional to 282,012.66, 389,170.74 and 154,687.14 is: 213,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,012.66 : 389,170.74 = 154,687.14 : x
  2. Step 2: Convert to fraction form
    282,012.66/389,170.74 = 154,687.14/x
  3. Step 3: Cross multiply
    282,012.66x = 389,170.74 × 154,687.14
  4. Step 4: Simplify right side
    282,012.66x = 60,199,708,742.28
  5. Step 5: Solve for x
    x = 60,199,708,742.28/282,012.66
  6. Step 6: Final answer
    x = 213,464.56

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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.