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Finding the Fourth Proportional to 468,989.43, 647,207.66 and 254,129.90

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Solution

The fourth proportional to 468,989.43, 647,207.66 and 254,129.90 is: 350,700.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,989.43 : 647,207.66 = 254,129.90 : x
  2. Step 2: Convert to fraction form
    468,989.43/647,207.66 = 254,129.90/x
  3. Step 3: Cross multiply
    468,989.43x = 647,207.66 × 254,129.90
  4. Step 4: Simplify right side
    468,989.43x = 164,474,813,408.35
  5. Step 5: Solve for x
    x = 164,474,813,408.35/468,989.43
  6. Step 6: Final answer
    x = 350,700.47

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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.