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Finding the Fourth Proportional to 429,793.22, 644,790.68 and 422,652.66

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Solution

The fourth proportional to 429,793.22, 644,790.68 and 422,652.66 is: 634,078.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,793.22 : 644,790.68 = 422,652.66 : x
  2. Step 2: Convert to fraction form
    429,793.22/644,790.68 = 422,652.66/x
  3. Step 3: Cross multiply
    429,793.22x = 644,790.68 × 422,652.66
  4. Step 4: Simplify right side
    429,793.22x = 272,522,493,931.95
  5. Step 5: Solve for x
    x = 272,522,493,931.95/429,793.22
  6. Step 6: Final answer
    x = 634,078.17

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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.