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Finding the Fourth Proportional to 392,964.30, 589,446.45 and 108,654.30

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Solution

The fourth proportional to 392,964.30, 589,446.45 and 108,654.30 is: 162,981.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,964.30 : 589,446.45 = 108,654.30 : x
  2. Step 2: Convert to fraction form
    392,964.30/589,446.45 = 108,654.30/x
  3. Step 3: Cross multiply
    392,964.30x = 589,446.45 × 108,654.30
  4. Step 4: Simplify right side
    392,964.30x = 64,045,891,412.24
  5. Step 5: Solve for x
    x = 64,045,891,412.24/392,964.30
  6. Step 6: Final answer
    x = 162,981.45

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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.