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Finding the Fourth Proportional to 442,728.10, 610,961.94 and 251,741.44

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Solution

The fourth proportional to 442,728.10, 610,961.94 and 251,741.44 is: 347,401.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,728.10 : 610,961.94 = 251,741.44 : x
  2. Step 2: Convert to fraction form
    442,728.10/610,961.94 = 251,741.44/x
  3. Step 3: Cross multiply
    442,728.10x = 610,961.94 × 251,741.44
  4. Step 4: Simplify right side
    442,728.10x = 153,804,438,560.79
  5. Step 5: Solve for x
    x = 153,804,438,560.79/442,728.10
  6. Step 6: Final answer
    x = 347,401.57

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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.