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Finding the Fourth Proportional to 547,093.98, 820,632.45 and 280,700.76

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Solution

The fourth proportional to 547,093.98, 820,632.45 and 280,700.76 is: 421,046.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,093.98 : 820,632.45 = 280,700.76 : x
  2. Step 2: Convert to fraction form
    547,093.98/820,632.45 = 280,700.76/x
  3. Step 3: Cross multiply
    547,093.98x = 820,632.45 × 280,700.76
  4. Step 4: Simplify right side
    547,093.98x = 230,352,152,395.66
  5. Step 5: Solve for x
    x = 230,352,152,395.66/547,093.98
  6. Step 6: Final answer
    x = 421,046.77

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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.