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Finding the Fourth Proportional to 409,073.60, 613,644.96 and 128,671.04

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Solution

The fourth proportional to 409,073.60, 613,644.96 and 128,671.04 is: 193,017.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,073.60 : 613,644.96 = 128,671.04 : x
  2. Step 2: Convert to fraction form
    409,073.60/613,644.96 = 128,671.04/x
  3. Step 3: Cross multiply
    409,073.60x = 613,644.96 × 128,671.04
  4. Step 4: Simplify right side
    409,073.60x = 78,958,335,193.96
  5. Step 5: Solve for x
    x = 78,958,335,193.96/409,073.60
  6. Step 6: Final answer
    x = 193,017.43

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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.