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Finding the Fourth Proportional to 415,808.74, 623,648.31 and 135,324.10

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Solution

The fourth proportional to 415,808.74, 623,648.31 and 135,324.10 is: 202,965.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,808.74 : 623,648.31 = 135,324.10 : x
  2. Step 2: Convert to fraction form
    415,808.74/623,648.31 = 135,324.10/x
  3. Step 3: Cross multiply
    415,808.74x = 623,648.31 × 135,324.10
  4. Step 4: Simplify right side
    415,808.74x = 84,394,646,267.27
  5. Step 5: Solve for x
    x = 84,394,646,267.27/415,808.74
  6. Step 6: Final answer
    x = 202,965.06

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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.