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Finding the Fourth Proportional to 423,189.23, 634,375.61 and 142,553.39

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Solution

The fourth proportional to 423,189.23, 634,375.61 and 142,553.39 is: 213,692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,189.23 : 634,375.61 = 142,553.39 : x
  2. Step 2: Convert to fraction form
    423,189.23/634,375.61 = 142,553.39/x
  3. Step 3: Cross multiply
    423,189.23x = 634,375.61 × 142,553.39
  4. Step 4: Simplify right side
    423,189.23x = 90,432,395,146.57
  5. Step 5: Solve for x
    x = 90,432,395,146.57/423,189.23
  6. Step 6: Final answer
    x = 213,692.57

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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.