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Finding the Fourth Proportional to 289,878.40, 434,623.20 and 132,025.60

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Solution

The fourth proportional to 289,878.40, 434,623.20 and 132,025.60 is: 197,949.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,878.40 : 434,623.20 = 132,025.60 : x
  2. Step 2: Convert to fraction form
    289,878.40/434,623.20 = 132,025.60/x
  3. Step 3: Cross multiply
    289,878.40x = 434,623.20 × 132,025.60
  4. Step 4: Simplify right side
    289,878.40x = 57,381,388,753.92
  5. Step 5: Solve for x
    x = 57,381,388,753.92/289,878.40
  6. Step 6: Final answer
    x = 197,949.86

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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.