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Finding the Fourth Proportional to 209,919.60, 314,879.40 and 192,204.90

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Solution

The fourth proportional to 209,919.60, 314,879.40 and 192,204.90 is: 288,307.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,919.60 : 314,879.40 = 192,204.90 : x
  2. Step 2: Convert to fraction form
    209,919.60/314,879.40 = 192,204.90/x
  3. Step 3: Cross multiply
    209,919.60x = 314,879.40 × 192,204.90
  4. Step 4: Simplify right side
    209,919.60x = 60,521,363,589.06
  5. Step 5: Solve for x
    x = 60,521,363,589.06/209,919.60
  6. Step 6: Final answer
    x = 288,307.35

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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.