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Finding the Fourth Proportional to 209,981.70, 314,972.55 and 191,610.90

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Solution

The fourth proportional to 209,981.70, 314,972.55 and 191,610.90 is: 287,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,981.70 : 314,972.55 = 191,610.90 : x
  2. Step 2: Convert to fraction form
    209,981.70/314,972.55 = 191,610.90/x
  3. Step 3: Cross multiply
    209,981.70x = 314,972.55 × 191,610.90
  4. Step 4: Simplify right side
    209,981.70x = 60,352,173,780.80
  5. Step 5: Solve for x
    x = 60,352,173,780.80/209,981.70
  6. Step 6: Final answer
    x = 287,416.35

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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.