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Finding the Fourth Proportional to 423,061.14, 634,636.21 and 123,542.57

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Solution

The fourth proportional to 423,061.14, 634,636.21 and 123,542.57 is: 185,326.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,061.14 : 634,636.21 = 123,542.57 : x
  2. Step 2: Convert to fraction form
    423,061.14/634,636.21 = 123,542.57/x
  3. Step 3: Cross multiply
    423,061.14x = 634,636.21 × 123,542.57
  4. Step 4: Simplify right side
    423,061.14x = 78,404,589,676.19
  5. Step 5: Solve for x
    x = 78,404,589,676.19/423,061.14
  6. Step 6: Final answer
    x = 185,326.85

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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.