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Finding the Fourth Proportional to 512,428.80, 768,182.40 and 335,020.80

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Solution

The fourth proportional to 512,428.80, 768,182.40 and 335,020.80 is: 502,229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,428.80 : 768,182.40 = 335,020.80 : x
  2. Step 2: Convert to fraction form
    512,428.80/768,182.40 = 335,020.80/x
  3. Step 3: Cross multiply
    512,428.80x = 768,182.40 × 335,020.80
  4. Step 4: Simplify right side
    512,428.80x = 257,357,082,193.92
  5. Step 5: Solve for x
    x = 257,357,082,193.92/512,428.80
  6. Step 6: Final answer
    x = 502,229.93

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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.