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Finding the Fourth Proportional to 282,012.80, 423,019.20 and 264,516.80

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Solution

The fourth proportional to 282,012.80, 423,019.20 and 264,516.80 is: 396,775.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,012.80 : 423,019.20 = 264,516.80 : x
  2. Step 2: Convert to fraction form
    282,012.80/423,019.20 = 264,516.80/x
  3. Step 3: Cross multiply
    282,012.80x = 423,019.20 × 264,516.80
  4. Step 4: Simplify right side
    282,012.80x = 111,895,685,122.56
  5. Step 5: Solve for x
    x = 111,895,685,122.56/282,012.80
  6. Step 6: Final answer
    x = 396,775.20

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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.