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Finding the Fourth Proportional to 415,772.90, 623,724.69 and 135,224.54

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Solution

The fourth proportional to 415,772.90, 623,724.69 and 135,224.54 is: 202,858.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,772.90 : 623,724.69 = 135,224.54 : x
  2. Step 2: Convert to fraction form
    415,772.90/623,724.69 = 135,224.54/x
  3. Step 3: Cross multiply
    415,772.90x = 623,724.69 × 135,224.54
  4. Step 4: Simplify right side
    415,772.90x = 84,342,884,291.89
  5. Step 5: Solve for x
    x = 84,342,884,291.89/415,772.90
  6. Step 6: Final answer
    x = 202,858.06

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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.