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Finding the Fourth Proportional to 289,234.40, 433,916.40 and 111,725.60

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Solution

The fourth proportional to 289,234.40, 433,916.40 and 111,725.60 is: 167,613.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,234.40 : 433,916.40 = 111,725.60 : x
  2. Step 2: Convert to fraction form
    289,234.40/433,916.40 = 111,725.60/x
  3. Step 3: Cross multiply
    289,234.40x = 433,916.40 × 111,725.60
  4. Step 4: Simplify right side
    289,234.40x = 48,479,570,139.84
  5. Step 5: Solve for x
    x = 48,479,570,139.84/289,234.40
  6. Step 6: Final answer
    x = 167,613.43

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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.