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Finding the Fourth Proportional to 472,723.38, 709,211.43 and 206,505.54

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Solution

The fourth proportional to 472,723.38, 709,211.43 and 206,505.54 is: 309,813.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,723.38 : 709,211.43 = 206,505.54 : x
  2. Step 2: Convert to fraction form
    472,723.38/709,211.43 = 206,505.54/x
  3. Step 3: Cross multiply
    472,723.38x = 709,211.43 × 206,505.54
  4. Step 4: Simplify right side
    472,723.38x = 146,456,089,326.32
  5. Step 5: Solve for x
    x = 146,456,089,326.32/472,723.38
  6. Step 6: Final answer
    x = 309,813.51

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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.