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Finding the Fourth Proportional to 415,241.60, 622,862.40 and 282,531.20

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Solution

The fourth proportional to 415,241.60, 622,862.40 and 282,531.20 is: 423,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,241.60 : 622,862.40 = 282,531.20 : x
  2. Step 2: Convert to fraction form
    415,241.60/622,862.40 = 282,531.20/x
  3. Step 3: Cross multiply
    415,241.60x = 622,862.40 × 282,531.20
  4. Step 4: Simplify right side
    415,241.60x = 175,978,061,306.88
  5. Step 5: Solve for x
    x = 175,978,061,306.88/415,241.60
  6. Step 6: Final answer
    x = 423,796.80

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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.