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Finding the Fourth Proportional to 669,408.02, 923,552.15 and 427,832

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Solution

The fourth proportional to 669,408.02, 923,552.15 and 427,832 is: 590,260.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,408.02 : 923,552.15 = 427,832 : x
  2. Step 2: Convert to fraction form
    669,408.02/923,552.15 = 427,832/x
  3. Step 3: Cross multiply
    669,408.02x = 923,552.15 × 427,832
  4. Step 4: Simplify right side
    669,408.02x = 395,125,163,438.80
  5. Step 5: Solve for x
    x = 395,125,163,438.80/669,408.02
  6. Step 6: Final answer
    x = 590,260.58

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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.