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Finding the Fourth Proportional to 309,881.60, 427,645.12 and 173,924

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Solution

The fourth proportional to 309,881.60, 427,645.12 and 173,924 is: 240,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,881.60 : 427,645.12 = 173,924 : x
  2. Step 2: Convert to fraction form
    309,881.60/427,645.12 = 173,924/x
  3. Step 3: Cross multiply
    309,881.60x = 427,645.12 × 173,924
  4. Step 4: Simplify right side
    309,881.60x = 74,377,749,850.88
  5. Step 5: Solve for x
    x = 74,377,749,850.88/309,881.60
  6. Step 6: Final answer
    x = 240,019.90

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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.