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Finding the Fourth Proportional to 289,461.88, 434,204.97 and 79,099.21

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Solution

The fourth proportional to 289,461.88, 434,204.97 and 79,099.21 is: 118,652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,461.88 : 434,204.97 = 79,099.21 : x
  2. Step 2: Convert to fraction form
    289,461.88/434,204.97 = 79,099.21/x
  3. Step 3: Cross multiply
    289,461.88x = 434,204.97 × 79,099.21
  4. Step 4: Simplify right side
    289,461.88x = 34,345,270,105.07
  5. Step 5: Solve for x
    x = 34,345,270,105.07/289,461.88
  6. Step 6: Final answer
    x = 118,652.14

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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.