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Finding the Fourth Proportional to 496,915.47, 685,719 and 282,052.44

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Solution

The fourth proportional to 496,915.47, 685,719 and 282,052.44 is: 389,218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,915.47 : 685,719 = 282,052.44 : x
  2. Step 2: Convert to fraction form
    496,915.47/685,719 = 282,052.44/x
  3. Step 3: Cross multiply
    496,915.47x = 685,719 × 282,052.44
  4. Step 4: Simplify right side
    496,915.47x = 193,408,717,104.36
  5. Step 5: Solve for x
    x = 193,408,717,104.36/496,915.47
  6. Step 6: Final answer
    x = 389,218.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.