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Finding the Fourth Proportional to 289,540.79, 434,369.22 and 100,008.11

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Solution

The fourth proportional to 289,540.79, 434,369.22 and 100,008.11 is: 150,032.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,540.79 : 434,369.22 = 100,008.11 : x
  2. Step 2: Convert to fraction form
    289,540.79/434,369.22 = 100,008.11/x
  3. Step 3: Cross multiply
    289,540.79x = 434,369.22 × 100,008.11
  4. Step 4: Simplify right side
    289,540.79x = 43,440,444,734.37
  5. Step 5: Solve for x
    x = 43,440,444,734.37/289,540.79
  6. Step 6: Final answer
    x = 150,032.21

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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.