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Finding the Fourth Proportional to 634,783.85, 951,563.41 and 213,830.09

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Solution

The fourth proportional to 634,783.85, 951,563.41 and 213,830.09 is: 320,538.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,783.85 : 951,563.41 = 213,830.09 : x
  2. Step 2: Convert to fraction form
    634,783.85/951,563.41 = 213,830.09/x
  3. Step 3: Cross multiply
    634,783.85x = 951,563.41 × 213,830.09
  4. Step 4: Simplify right side
    634,783.85x = 203,472,889,079.77
  5. Step 5: Solve for x
    x = 203,472,889,079.77/634,783.85
  6. Step 6: Final answer
    x = 320,538.86

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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.