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Finding the Fourth Proportional to 393,065.62, 589,629.21 and 140,400.70

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Solution

The fourth proportional to 393,065.62, 589,629.21 and 140,400.70 is: 210,612.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,065.62 : 589,629.21 = 140,400.70 : x
  2. Step 2: Convert to fraction form
    393,065.62/589,629.21 = 140,400.70/x
  3. Step 3: Cross multiply
    393,065.62x = 589,629.21 × 140,400.70
  4. Step 4: Simplify right side
    393,065.62x = 82,784,353,824.45
  5. Step 5: Solve for x
    x = 82,784,353,824.45/393,065.62
  6. Step 6: Final answer
    x = 210,612.04

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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.