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Finding the Fourth Proportional to 209,197.20, 313,601.40 and 146,017.20

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Solution

The fourth proportional to 209,197.20, 313,601.40 and 146,017.20 is: 218,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,197.20 : 313,601.40 = 146,017.20 : x
  2. Step 2: Convert to fraction form
    209,197.20/313,601.40 = 146,017.20/x
  3. Step 3: Cross multiply
    209,197.20x = 313,601.40 × 146,017.20
  4. Step 4: Simplify right side
    209,197.20x = 45,791,198,344.08
  5. Step 5: Solve for x
    x = 45,791,198,344.08/209,197.20
  6. Step 6: Final answer
    x = 218,890.11

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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.