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Finding the Fourth Proportional to 415,647.26, 623,419.05 and 166,331.42

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Solution

The fourth proportional to 415,647.26, 623,419.05 and 166,331.42 is: 249,476.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,647.26 : 623,419.05 = 166,331.42 : x
  2. Step 2: Convert to fraction form
    415,647.26/623,419.05 = 166,331.42/x
  3. Step 3: Cross multiply
    415,647.26x = 623,419.05 × 166,331.42
  4. Step 4: Simplify right side
    415,647.26x = 103,694,175,841.55
  5. Step 5: Solve for x
    x = 103,694,175,841.55/415,647.26
  6. Step 6: Final answer
    x = 249,476.38

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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.