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Finding the Fourth Proportional to 547,093.73, 820,632.08 and 280,700.51

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Solution

The fourth proportional to 547,093.73, 820,632.08 and 280,700.51 is: 421,046.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,093.73 : 820,632.08 = 280,700.51 : x
  2. Step 2: Convert to fraction form
    547,093.73/820,632.08 = 280,700.51/x
  3. Step 3: Cross multiply
    547,093.73x = 820,632.08 × 280,700.51
  4. Step 4: Simplify right side
    547,093.73x = 230,351,841,974.86
  5. Step 5: Solve for x
    x = 230,351,841,974.86/547,093.73
  6. Step 6: Final answer
    x = 421,046.39

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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.