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Finding the Fourth Proportional to 415,699.20, 622,627.20 and 166,252.80

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Solution

The fourth proportional to 415,699.20, 622,627.20 and 166,252.80 is: 249,010.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,699.20 : 622,627.20 = 166,252.80 : x
  2. Step 2: Convert to fraction form
    415,699.20/622,627.20 = 166,252.80/x
  3. Step 3: Cross multiply
    415,699.20x = 622,627.20 × 166,252.80
  4. Step 4: Simplify right side
    415,699.20x = 103,513,515,356.16
  5. Step 5: Solve for x
    x = 103,513,515,356.16/415,699.20
  6. Step 6: Final answer
    x = 249,010.62

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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.