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Finding the Fourth Proportional to 289,672.20, 434,799.90 and 140,032.80

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Solution

The fourth proportional to 289,672.20, 434,799.90 and 140,032.80 is: 210,190.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,672.20 : 434,799.90 = 140,032.80 : x
  2. Step 2: Convert to fraction form
    289,672.20/434,799.90 = 140,032.80/x
  3. Step 3: Cross multiply
    289,672.20x = 434,799.90 × 140,032.80
  4. Step 4: Simplify right side
    289,672.20x = 60,886,247,436.72
  5. Step 5: Solve for x
    x = 60,886,247,436.72/289,672.20
  6. Step 6: Final answer
    x = 210,190.16

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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.