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Finding the Fourth Proportional to 422,892.60, 634,363.20 and 123,419.40

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Solution

The fourth proportional to 422,892.60, 634,363.20 and 123,419.40 is: 185,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,892.60 : 634,363.20 = 123,419.40 : x
  2. Step 2: Convert to fraction form
    422,892.60/634,363.20 = 123,419.40/x
  3. Step 3: Cross multiply
    422,892.60x = 634,363.20 × 123,419.40
  4. Step 4: Simplify right side
    422,892.60x = 78,292,725,526.08
  5. Step 5: Solve for x
    x = 78,292,725,526.08/422,892.60
  6. Step 6: Final answer
    x = 185,136.19

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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.