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Finding the Fourth Proportional to 253,715.46, 380,698.23 and 118,788.65

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Solution

The fourth proportional to 253,715.46, 380,698.23 and 118,788.65 is: 178,241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,715.46 : 380,698.23 = 118,788.65 : x
  2. Step 2: Convert to fraction form
    253,715.46/380,698.23 = 118,788.65/x
  3. Step 3: Cross multiply
    253,715.46x = 380,698.23 × 118,788.65
  4. Step 4: Simplify right side
    253,715.46x = 45,222,626,895.60
  5. Step 5: Solve for x
    x = 45,222,626,895.60/253,715.46
  6. Step 6: Final answer
    x = 178,241.51

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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.