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Finding the Fourth Proportional to 415,701.20, 622,630.20 and 166,254.80

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Solution

The fourth proportional to 415,701.20, 622,630.20 and 166,254.80 is: 249,013.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,701.20 : 622,630.20 = 166,254.80 : x
  2. Step 2: Convert to fraction form
    415,701.20/622,630.20 = 166,254.80/x
  3. Step 3: Cross multiply
    415,701.20x = 622,630.20 × 166,254.80
  4. Step 4: Simplify right side
    415,701.20x = 103,515,259,374.96
  5. Step 5: Solve for x
    x = 103,515,259,374.96/415,701.20
  6. Step 6: Final answer
    x = 249,013.62

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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.