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Finding the Fourth Proportional to 415,729.20, 622,672.20 and 166,282.80

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Solution

The fourth proportional to 415,729.20, 622,672.20 and 166,282.80 is: 249,055.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,729.20 : 622,672.20 = 166,282.80 : x
  2. Step 2: Convert to fraction form
    415,729.20/622,672.20 = 166,282.80/x
  3. Step 3: Cross multiply
    415,729.20x = 622,672.20 × 166,282.80
  4. Step 4: Simplify right side
    415,729.20x = 103,539,676,898.16
  5. Step 5: Solve for x
    x = 103,539,676,898.16/415,729.20
  6. Step 6: Final answer
    x = 249,055.58

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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.