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Finding the Fourth Proportional to 427,813, 590,537.46 and 248,965

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Solution

The fourth proportional to 427,813, 590,537.46 and 248,965 is: 343,662.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,813 : 590,537.46 = 248,965 : x
  2. Step 2: Convert to fraction form
    427,813/590,537.46 = 248,965/x
  3. Step 3: Cross multiply
    427,813x = 590,537.46 × 248,965
  4. Step 4: Simplify right side
    427,813x = 147,023,158,728.90
  5. Step 5: Solve for x
    x = 147,023,158,728.90/427,813
  6. Step 6: Final answer
    x = 343,662.20

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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.