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Finding the Fourth Proportional to 280,593.09, 420,951.83 and 80,897.89

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Solution

The fourth proportional to 280,593.09, 420,951.83 and 80,897.89 is: 121,364.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,593.09 : 420,951.83 = 80,897.89 : x
  2. Step 2: Convert to fraction form
    280,593.09/420,951.83 = 80,897.89/x
  3. Step 3: Cross multiply
    280,593.09x = 420,951.83 × 80,897.89
  4. Step 4: Simplify right side
    280,593.09x = 34,054,114,838.64
  5. Step 5: Solve for x
    x = 34,054,114,838.64/280,593.09
  6. Step 6: Final answer
    x = 121,364.77

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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.