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Finding the Fourth Proportional to 481,017.64, 721,638.75 and 139,468.20

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Solution

The fourth proportional to 481,017.64, 721,638.75 and 139,468.20 is: 209,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,017.64 : 721,638.75 = 139,468.20 : x
  2. Step 2: Convert to fraction form
    481,017.64/721,638.75 = 139,468.20/x
  3. Step 3: Cross multiply
    481,017.64x = 721,638.75 × 139,468.20
  4. Step 4: Simplify right side
    481,017.64x = 100,645,660,241.67
  5. Step 5: Solve for x
    x = 100,645,660,241.67/481,017.64
  6. Step 6: Final answer
    x = 209,234.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.