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Finding the Fourth Proportional to 206,015.40, 308,792.70 and 117,311.40

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Solution

The fourth proportional to 206,015.40, 308,792.70 and 117,311.40 is: 175,835.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,015.40 : 308,792.70 = 117,311.40 : x
  2. Step 2: Convert to fraction form
    206,015.40/308,792.70 = 117,311.40/x
  3. Step 3: Cross multiply
    206,015.40x = 308,792.70 × 117,311.40
  4. Step 4: Simplify right side
    206,015.40x = 36,224,903,946.78
  5. Step 5: Solve for x
    x = 36,224,903,946.78/206,015.40
  6. Step 6: Final answer
    x = 175,835.90

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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.