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Finding the Fourth Proportional to 253,716.46, 380,699.73 and 118,789.65

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Solution

The fourth proportional to 253,716.46, 380,699.73 and 118,789.65 is: 178,243.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,716.46 : 380,699.73 = 118,789.65 : x
  2. Step 2: Convert to fraction form
    253,716.46/380,699.73 = 118,789.65/x
  3. Step 3: Cross multiply
    253,716.46x = 380,699.73 × 118,789.65
  4. Step 4: Simplify right side
    253,716.46x = 45,223,187,681.79
  5. Step 5: Solve for x
    x = 45,223,187,681.79/253,716.46
  6. Step 6: Final answer
    x = 178,243.02

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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.