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Finding the Fourth Proportional to 547,273.93, 820,352.81 and 310,115.65

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Solution

The fourth proportional to 547,273.93, 820,352.81 and 310,115.65 is: 464,857.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,273.93 : 820,352.81 = 310,115.65 : x
  2. Step 2: Convert to fraction form
    547,273.93/820,352.81 = 310,115.65/x
  3. Step 3: Cross multiply
    547,273.93x = 820,352.81 × 310,115.65
  4. Step 4: Simplify right side
    547,273.93x = 254,404,243,351.90
  5. Step 5: Solve for x
    x = 254,404,243,351.90/547,273.93
  6. Step 6: Final answer
    x = 464,857.23

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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.