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Finding the Fourth Proportional to 289,582.80, 434,359.80 and 149,355.60

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Solution

The fourth proportional to 289,582.80, 434,359.80 and 149,355.60 is: 224,025.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,582.80 : 434,359.80 = 149,355.60 : x
  2. Step 2: Convert to fraction form
    289,582.80/434,359.80 = 149,355.60/x
  3. Step 3: Cross multiply
    289,582.80x = 434,359.80 × 149,355.60
  4. Step 4: Simplify right side
    289,582.80x = 64,874,068,544.88
  5. Step 5: Solve for x
    x = 64,874,068,544.88/289,582.80
  6. Step 6: Final answer
    x = 224,025.97

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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.