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Finding the Fourth Proportional to 360,395.93, 540,863.17 and 135,977.69

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Solution

The fourth proportional to 360,395.93, 540,863.17 and 135,977.69 is: 204,068.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,395.93 : 540,863.17 = 135,977.69 : x
  2. Step 2: Convert to fraction form
    360,395.93/540,863.17 = 135,977.69/x
  3. Step 3: Cross multiply
    360,395.93x = 540,863.17 × 135,977.69
  4. Step 4: Simplify right side
    360,395.93x = 73,545,321,418.42
  5. Step 5: Solve for x
    x = 73,545,321,418.42/360,395.93
  6. Step 6: Final answer
    x = 204,068.13

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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.