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Finding the Fourth Proportional to 415,647.90, 623,537.19 and 135,099.54

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Solution

The fourth proportional to 415,647.90, 623,537.19 and 135,099.54 is: 202,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,647.90 : 623,537.19 = 135,099.54 : x
  2. Step 2: Convert to fraction form
    415,647.90/623,537.19 = 135,099.54/x
  3. Step 3: Cross multiply
    415,647.90x = 623,537.19 × 135,099.54
  4. Step 4: Simplify right side
    415,647.90x = 84,239,587,541.89
  5. Step 5: Solve for x
    x = 84,239,587,541.89/415,647.90
  6. Step 6: Final answer
    x = 202,670.55

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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.