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Finding the Fourth Proportional to 289,040.21, 432,999.27 and 213,000.77

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Solution

The fourth proportional to 289,040.21, 432,999.27 and 213,000.77 is: 319,087.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,040.21 : 432,999.27 = 213,000.77 : x
  2. Step 2: Convert to fraction form
    289,040.21/432,999.27 = 213,000.77/x
  3. Step 3: Cross multiply
    289,040.21x = 432,999.27 × 213,000.77
  4. Step 4: Simplify right side
    289,040.21x = 92,229,177,919.44
  5. Step 5: Solve for x
    x = 92,229,177,919.44/289,040.21
  6. Step 6: Final answer
    x = 319,087.71

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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.