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Finding the Fourth Proportional to 415,960.20, 623,940.30 and 135,477.46

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Solution

The fourth proportional to 415,960.20, 623,940.30 and 135,477.46 is: 203,216.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,960.20 : 623,940.30 = 135,477.46 : x
  2. Step 2: Convert to fraction form
    415,960.20/623,940.30 = 135,477.46/x
  3. Step 3: Cross multiply
    415,960.20x = 623,940.30 × 135,477.46
  4. Step 4: Simplify right side
    415,960.20x = 84,529,847,035.64
  5. Step 5: Solve for x
    x = 84,529,847,035.64/415,960.20
  6. Step 6: Final answer
    x = 203,216.19

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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.