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Finding the Fourth Proportional to 422,563.82, 634,094.90 and 156,511.22

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Solution

The fourth proportional to 422,563.82, 634,094.90 and 156,511.22 is: 234,859.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,563.82 : 634,094.90 = 156,511.22 : x
  2. Step 2: Convert to fraction form
    422,563.82/634,094.90 = 156,511.22/x
  3. Step 3: Cross multiply
    422,563.82x = 634,094.90 × 156,511.22
  4. Step 4: Simplify right side
    422,563.82x = 99,242,966,394.78
  5. Step 5: Solve for x
    x = 99,242,966,394.78/422,563.82
  6. Step 6: Final answer
    x = 234,859.12

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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.