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Finding the Fourth Proportional to 617,832, 926,821.44 and 218,390.40

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Solution

The fourth proportional to 617,832, 926,821.44 and 218,390.40 is: 327,611.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,832 : 926,821.44 = 218,390.40 : x
  2. Step 2: Convert to fraction form
    617,832/926,821.44 = 218,390.40/x
  3. Step 3: Cross multiply
    617,832x = 926,821.44 × 218,390.40
  4. Step 4: Simplify right side
    617,832x = 202,408,905,010.18
  5. Step 5: Solve for x
    x = 202,408,905,010.18/617,832
  6. Step 6: Final answer
    x = 327,611.56

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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.