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Finding the Fourth Proportional to 521,633.60, 782,968.80 and 255,694.40

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Solution

The fourth proportional to 521,633.60, 782,968.80 and 255,694.40 is: 383,795.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,633.60 : 782,968.80 = 255,694.40 : x
  2. Step 2: Convert to fraction form
    521,633.60/782,968.80 = 255,694.40/x
  3. Step 3: Cross multiply
    521,633.60x = 782,968.80 × 255,694.40
  4. Step 4: Simplify right side
    521,633.60x = 200,200,737,534.72
  5. Step 5: Solve for x
    x = 200,200,737,534.72/521,633.60
  6. Step 6: Final answer
    x = 383,795.71

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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.