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Finding the Fourth Proportional to 406,745.94, 561,330 and 234,599.88

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Solution

The fourth proportional to 406,745.94, 561,330 and 234,599.88 is: 323,759.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,745.94 : 561,330 = 234,599.88 : x
  2. Step 2: Convert to fraction form
    406,745.94/561,330 = 234,599.88/x
  3. Step 3: Cross multiply
    406,745.94x = 561,330 × 234,599.88
  4. Step 4: Simplify right side
    406,745.94x = 131,687,950,640.40
  5. Step 5: Solve for x
    x = 131,687,950,640.40/406,745.94
  6. Step 6: Final answer
    x = 323,759.72

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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.