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Finding the Fourth Proportional to 289,039.54, 432,998.22 and 213,000.06

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Solution

The fourth proportional to 289,039.54, 432,998.22 and 213,000.06 is: 319,086.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,039.54 : 432,998.22 = 213,000.06 : x
  2. Step 2: Convert to fraction form
    289,039.54/432,998.22 = 213,000.06/x
  3. Step 3: Cross multiply
    289,039.54x = 432,998.22 × 213,000.06
  4. Step 4: Simplify right side
    289,039.54x = 92,228,646,839.89
  5. Step 5: Solve for x
    x = 92,228,646,839.89/289,039.54
  6. Step 6: Final answer
    x = 319,086.61

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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.