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Finding the Fourth Proportional to 282,040.76, 423,090.81 and 82,361.72

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Solution

The fourth proportional to 282,040.76, 423,090.81 and 82,361.72 is: 123,551.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,040.76 : 423,090.81 = 82,361.72 : x
  2. Step 2: Convert to fraction form
    282,040.76/423,090.81 = 82,361.72/x
  3. Step 3: Cross multiply
    282,040.76x = 423,090.81 × 82,361.72
  4. Step 4: Simplify right side
    282,040.76x = 34,846,484,300.53
  5. Step 5: Solve for x
    x = 34,846,484,300.53/282,040.76
  6. Step 6: Final answer
    x = 123,551.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.