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Finding the Fourth Proportional to 289,828.60, 434,742.90 and 205,847.80

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Solution

The fourth proportional to 289,828.60, 434,742.90 and 205,847.80 is: 308,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,828.60 : 434,742.90 = 205,847.80 : x
  2. Step 2: Convert to fraction form
    289,828.60/434,742.90 = 205,847.80/x
  3. Step 3: Cross multiply
    289,828.60x = 434,742.90 × 205,847.80
  4. Step 4: Simplify right side
    289,828.60x = 89,490,869,530.62
  5. Step 5: Solve for x
    x = 89,490,869,530.62/289,828.60
  6. Step 6: Final answer
    x = 308,771.70

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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.