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Finding the Fourth Proportional to 392,723.65, 589,140.15 and 168,082.30

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Solution

The fourth proportional to 392,723.65, 589,140.15 and 168,082.30 is: 252,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,723.65 : 589,140.15 = 168,082.30 : x
  2. Step 2: Convert to fraction form
    392,723.65/589,140.15 = 168,082.30/x
  3. Step 3: Cross multiply
    392,723.65x = 589,140.15 × 168,082.30
  4. Step 4: Simplify right side
    392,723.65x = 99,024,031,434.35
  5. Step 5: Solve for x
    x = 99,024,031,434.35/392,723.65
  6. Step 6: Final answer
    x = 252,146.85

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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.