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Finding the Fourth Proportional to 289,580.80, 434,356.80 and 149,353.60

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Solution

The fourth proportional to 289,580.80, 434,356.80 and 149,353.60 is: 224,022.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,580.80 : 434,356.80 = 149,353.60 : x
  2. Step 2: Convert to fraction form
    289,580.80/434,356.80 = 149,353.60/x
  3. Step 3: Cross multiply
    289,580.80x = 434,356.80 × 149,353.60
  4. Step 4: Simplify right side
    289,580.80x = 64,872,751,764.48
  5. Step 5: Solve for x
    x = 64,872,751,764.48/289,580.80
  6. Step 6: Final answer
    x = 224,022.97

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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.