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Finding the Fourth Proportional to 209,408, 314,212.80 and 104,236.16

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Solution

The fourth proportional to 209,408, 314,212.80 and 104,236.16 is: 156,404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,408 : 314,212.80 = 104,236.16 : x
  2. Step 2: Convert to fraction form
    209,408/314,212.80 = 104,236.16/x
  3. Step 3: Cross multiply
    209,408x = 314,212.80 × 104,236.16
  4. Step 4: Simplify right side
    209,408x = 32,752,335,694.85
  5. Step 5: Solve for x
    x = 32,752,335,694.85/209,408
  6. Step 6: Final answer
    x = 156,404.41

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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.