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Finding the Fourth Proportional to 289,403.60, 434,105.40 and 89,722.40

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Solution

The fourth proportional to 289,403.60, 434,105.40 and 89,722.40 is: 134,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,403.60 : 434,105.40 = 89,722.40 : x
  2. Step 2: Convert to fraction form
    289,403.60/434,105.40 = 89,722.40/x
  3. Step 3: Cross multiply
    289,403.60x = 434,105.40 × 89,722.40
  4. Step 4: Simplify right side
    289,403.60x = 38,948,978,340.96
  5. Step 5: Solve for x
    x = 38,948,978,340.96/289,403.60
  6. Step 6: Final answer
    x = 134,583.60

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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.