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Finding the Fourth Proportional to 415,958.28, 623,937.42 and 135,475.53

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Solution

The fourth proportional to 415,958.28, 623,937.42 and 135,475.53 is: 203,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,958.28 : 623,937.42 = 135,475.53 : x
  2. Step 2: Convert to fraction form
    415,958.28/623,937.42 = 135,475.53/x
  3. Step 3: Cross multiply
    415,958.28x = 623,937.42 × 135,475.53
  4. Step 4: Simplify right side
    415,958.28x = 84,528,252,661.33
  5. Step 5: Solve for x
    x = 84,528,252,661.33/415,958.28
  6. Step 6: Final answer
    x = 203,213.30

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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.