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Finding the Fourth Proportional to 521,846.40, 782,915.40 and 255,615.60

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Solution

The fourth proportional to 521,846.40, 782,915.40 and 255,615.60 is: 383,494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,846.40 : 782,915.40 = 255,615.60 : x
  2. Step 2: Convert to fraction form
    521,846.40/782,915.40 = 255,615.60/x
  3. Step 3: Cross multiply
    521,846.40x = 782,915.40 × 255,615.60
  4. Step 4: Simplify right side
    521,846.40x = 200,125,389,720.24
  5. Step 5: Solve for x
    x = 200,125,389,720.24/521,846.40
  6. Step 6: Final answer
    x = 383,494.82

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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.