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Finding the Fourth Proportional to 429,226.86, 643,402.89 and 192,505.98

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Solution

The fourth proportional to 429,226.86, 643,402.89 and 192,505.98 is: 288,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,226.86 : 643,402.89 = 192,505.98 : x
  2. Step 2: Convert to fraction form
    429,226.86/643,402.89 = 192,505.98/x
  3. Step 3: Cross multiply
    429,226.86x = 643,402.89 × 192,505.98
  4. Step 4: Simplify right side
    429,226.86x = 123,858,903,874.28
  5. Step 5: Solve for x
    x = 123,858,903,874.28/429,226.86
  6. Step 6: Final answer
    x = 288,562.80

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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.