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Finding the Fourth Proportional to 523,641.56, 722,623.82 and 305,892.90

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Solution

The fourth proportional to 523,641.56, 722,623.82 and 305,892.90 is: 422,131.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,641.56 : 722,623.82 = 305,892.90 : x
  2. Step 2: Convert to fraction form
    523,641.56/722,623.82 = 305,892.90/x
  3. Step 3: Cross multiply
    523,641.56x = 722,623.82 × 305,892.90
  4. Step 4: Simplify right side
    523,641.56x = 221,045,494,379.41
  5. Step 5: Solve for x
    x = 221,045,494,379.41/523,641.56
  6. Step 6: Final answer
    x = 422,131.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.