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Finding the Fourth Proportional to 415,713.20, 622,648.20 and 166,266.80

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Solution

The fourth proportional to 415,713.20, 622,648.20 and 166,266.80 is: 249,031.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,713.20 : 622,648.20 = 166,266.80 : x
  2. Step 2: Convert to fraction form
    415,713.20/622,648.20 = 166,266.80/x
  3. Step 3: Cross multiply
    415,713.20x = 622,648.20 × 166,266.80
  4. Step 4: Simplify right side
    415,713.20x = 103,525,723,739.76
  5. Step 5: Solve for x
    x = 103,525,723,739.76/415,713.20
  6. Step 6: Final answer
    x = 249,031.60

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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.