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Finding the Fourth Proportional to 520,422, 718,182.36 and 281,958

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Solution

The fourth proportional to 520,422, 718,182.36 and 281,958 is: 389,102.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,422 : 718,182.36 = 281,958 : x
  2. Step 2: Convert to fraction form
    520,422/718,182.36 = 281,958/x
  3. Step 3: Cross multiply
    520,422x = 718,182.36 × 281,958
  4. Step 4: Simplify right side
    520,422x = 202,497,261,860.88
  5. Step 5: Solve for x
    x = 202,497,261,860.88/520,422
  6. Step 6: Final answer
    x = 389,102.04

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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.