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Finding the Fourth Proportional to 392,408.72, 588,094.62 and 142,850.96

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Solution

The fourth proportional to 392,408.72, 588,094.62 and 142,850.96 is: 214,087.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,408.72 : 588,094.62 = 142,850.96 : x
  2. Step 2: Convert to fraction form
    392,408.72/588,094.62 = 142,850.96/x
  3. Step 3: Cross multiply
    392,408.72x = 588,094.62 × 142,850.96
  4. Step 4: Simplify right side
    392,408.72x = 84,009,881,037.84
  5. Step 5: Solve for x
    x = 84,009,881,037.84/392,408.72
  6. Step 6: Final answer
    x = 214,087.70

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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.