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Finding the Fourth Proportional to 520,452, 718,223.76 and 281,988

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Solution

The fourth proportional to 520,452, 718,223.76 and 281,988 is: 389,143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,452 : 718,223.76 = 281,988 : x
  2. Step 2: Convert to fraction form
    520,452/718,223.76 = 281,988/x
  3. Step 3: Cross multiply
    520,452x = 718,223.76 × 281,988
  4. Step 4: Simplify right side
    520,452x = 202,530,481,634.88
  5. Step 5: Solve for x
    x = 202,530,481,634.88/520,452
  6. Step 6: Final answer
    x = 389,143.44

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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.