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Finding the Fourth Proportional to 345,005.48, 476,104.00 and 189,951.86

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Solution

The fourth proportional to 345,005.48, 476,104.00 and 189,951.86 is: 262,131.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,005.48 : 476,104.00 = 189,951.86 : x
  2. Step 2: Convert to fraction form
    345,005.48/476,104.00 = 189,951.86/x
  3. Step 3: Cross multiply
    345,005.48x = 476,104.00 × 189,951.86
  4. Step 4: Simplify right side
    345,005.48x = 90,436,840,620.18
  5. Step 5: Solve for x
    x = 90,436,840,620.18/345,005.48
  6. Step 6: Final answer
    x = 262,131.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.