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Finding the Fourth Proportional to 429,229.36, 643,406.64 and 192,508.48

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Solution

The fourth proportional to 429,229.36, 643,406.64 and 192,508.48 is: 288,566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,229.36 : 643,406.64 = 192,508.48 : x
  2. Step 2: Convert to fraction form
    429,229.36/643,406.64 = 192,508.48/x
  3. Step 3: Cross multiply
    429,229.36x = 643,406.64 × 192,508.48
  4. Step 4: Simplify right side
    429,229.36x = 123,861,234,288.31
  5. Step 5: Solve for x
    x = 123,861,234,288.31/429,229.36
  6. Step 6: Final answer
    x = 288,566.55

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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.