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Finding the Fourth Proportional to 393,004.92, 589,543.02 and 108,713.28

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Solution

The fourth proportional to 393,004.92, 589,543.02 and 108,713.28 is: 163,079.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,004.92 : 589,543.02 = 108,713.28 : x
  2. Step 2: Convert to fraction form
    393,004.92/589,543.02 = 108,713.28/x
  3. Step 3: Cross multiply
    393,004.92x = 589,543.02 × 108,713.28
  4. Step 4: Simplify right side
    393,004.92x = 64,091,155,405.31
  5. Step 5: Solve for x
    x = 64,091,155,405.31/393,004.92
  6. Step 6: Final answer
    x = 163,079.78

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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.