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Finding the Fourth Proportional to 415,889.24, 623,768.79 and 135,404.60

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Solution

The fourth proportional to 415,889.24, 623,768.79 and 135,404.60 is: 203,085.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,889.24 : 623,768.79 = 135,404.60 : x
  2. Step 2: Convert to fraction form
    415,889.24/623,768.79 = 135,404.60/x
  3. Step 3: Cross multiply
    415,889.24x = 623,768.79 × 135,404.60
  4. Step 4: Simplify right side
    415,889.24x = 84,461,163,502.43
  5. Step 5: Solve for x
    x = 84,461,163,502.43/415,889.24
  6. Step 6: Final answer
    x = 203,085.71

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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.