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Finding the Fourth Proportional to 547,676.25, 820,780.05 and 426,243.42

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Solution

The fourth proportional to 547,676.25, 820,780.05 and 426,243.42 is: 638,793.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,676.25 : 820,780.05 = 426,243.42 : x
  2. Step 2: Convert to fraction form
    547,676.25/820,780.05 = 426,243.42/x
  3. Step 3: Cross multiply
    547,676.25x = 820,780.05 × 426,243.42
  4. Step 4: Simplify right side
    547,676.25x = 349,852,093,527.82
  5. Step 5: Solve for x
    x = 349,852,093,527.82/547,676.25
  6. Step 6: Final answer
    x = 638,793.62

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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.