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Finding the Fourth Proportional to 429,793, 644,790.34 and 422,652.45

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Solution

The fourth proportional to 429,793, 644,790.34 and 422,652.45 is: 634,077.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,793 : 644,790.34 = 422,652.45 : x
  2. Step 2: Convert to fraction form
    429,793/644,790.34 = 422,652.45/x
  3. Step 3: Cross multiply
    429,793x = 644,790.34 × 422,652.45
  4. Step 4: Simplify right side
    429,793x = 272,522,213,713.38
  5. Step 5: Solve for x
    x = 272,522,213,713.38/429,793
  6. Step 6: Final answer
    x = 634,077.83

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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.