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Finding the Fourth Proportional to 280,892.93, 421,379.33 and 91,292.31

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Solution

The fourth proportional to 280,892.93, 421,379.33 and 91,292.31 is: 136,951.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,892.93 : 421,379.33 = 91,292.31 : x
  2. Step 2: Convert to fraction form
    280,892.93/421,379.33 = 91,292.31/x
  3. Step 3: Cross multiply
    280,892.93x = 421,379.33 × 91,292.31
  4. Step 4: Simplify right side
    280,892.93x = 38,468,691,965.49
  5. Step 5: Solve for x
    x = 38,468,691,965.49/280,892.93
  6. Step 6: Final answer
    x = 136,951.44

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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.