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Finding the Fourth Proportional to 547,777.85, 821,666.78 and 461,172.65

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Solution

The fourth proportional to 547,777.85, 821,666.78 and 461,172.65 is: 691,758.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,777.85 : 821,666.78 = 461,172.65 : x
  2. Step 2: Convert to fraction form
    547,777.85/821,666.78 = 461,172.65/x
  3. Step 3: Cross multiply
    547,777.85x = 821,666.78 × 461,172.65
  4. Step 4: Simplify right side
    547,777.85x = 378,930,244,043.70
  5. Step 5: Solve for x
    x = 378,930,244,043.70/547,777.85
  6. Step 6: Final answer
    x = 691,758.98

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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.