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Finding the Fourth Proportional to 492,082.80, 738,469.80 and 315,020.40

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Solution

The fourth proportional to 492,082.80, 738,469.80 and 315,020.40 is: 472,751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,082.80 : 738,469.80 = 315,020.40 : x
  2. Step 2: Convert to fraction form
    492,082.80/738,469.80 = 315,020.40/x
  3. Step 3: Cross multiply
    492,082.80x = 738,469.80 × 315,020.40
  4. Step 4: Simplify right side
    492,082.80x = 232,633,051,783.92
  5. Step 5: Solve for x
    x = 232,633,051,783.92/492,082.80
  6. Step 6: Final answer
    x = 472,751.85

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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.