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Finding the Fourth Proportional to 286,065.70, 428,575.26 and 133,983.54

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Solution

The fourth proportional to 286,065.70, 428,575.26 and 133,983.54 is: 200,730.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,065.70 : 428,575.26 = 133,983.54 : x
  2. Step 2: Convert to fraction form
    286,065.70/428,575.26 = 133,983.54/x
  3. Step 3: Cross multiply
    286,065.70x = 428,575.26 × 133,983.54
  4. Step 4: Simplify right side
    286,065.70x = 57,422,030,491.22
  5. Step 5: Solve for x
    x = 57,422,030,491.22/286,065.70
  6. Step 6: Final answer
    x = 200,730.22

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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.