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Finding the Fourth Proportional to 393,009.92, 589,457.46 and 193,276.70

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Solution

The fourth proportional to 393,009.92, 589,457.46 and 193,276.70 is: 289,886.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,009.92 : 589,457.46 = 193,276.70 : x
  2. Step 2: Convert to fraction form
    393,009.92/589,457.46 = 193,276.70/x
  3. Step 3: Cross multiply
    393,009.92x = 589,457.46 × 193,276.70
  4. Step 4: Simplify right side
    393,009.92x = 113,928,392,659.18
  5. Step 5: Solve for x
    x = 113,928,392,659.18/393,009.92
  6. Step 6: Final answer
    x = 289,886.81

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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.