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Finding the Fourth Proportional to 429,508.24, 641,369.94 and 350,778.64

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Solution

The fourth proportional to 429,508.24, 641,369.94 and 350,778.64 is: 523,805.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,508.24 : 641,369.94 = 350,778.64 : x
  2. Step 2: Convert to fraction form
    429,508.24/641,369.94 = 350,778.64/x
  3. Step 3: Cross multiply
    429,508.24x = 641,369.94 × 350,778.64
  4. Step 4: Simplify right side
    429,508.24x = 224,978,875,290.08
  5. Step 5: Solve for x
    x = 224,978,875,290.08/429,508.24
  6. Step 6: Final answer
    x = 523,805.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.