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Finding the Fourth Proportional to 193,378.20, 289,721.70 and 165,730.20

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Solution

The fourth proportional to 193,378.20, 289,721.70 and 165,730.20 is: 248,299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,378.20 : 289,721.70 = 165,730.20 : x
  2. Step 2: Convert to fraction form
    193,378.20/289,721.70 = 165,730.20/x
  3. Step 3: Cross multiply
    193,378.20x = 289,721.70 × 165,730.20
  4. Step 4: Simplify right side
    193,378.20x = 48,015,635,285.34
  5. Step 5: Solve for x
    x = 48,015,635,285.34/193,378.20
  6. Step 6: Final answer
    x = 248,299.11

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1.5x scale

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.