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Finding the Fourth Proportional to 255,904.80, 383,823.60 and 78,429.60

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Solution

The fourth proportional to 255,904.80, 383,823.60 and 78,429.60 is: 117,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,904.80 : 383,823.60 = 78,429.60 : x
  2. Step 2: Convert to fraction form
    255,904.80/383,823.60 = 78,429.60/x
  3. Step 3: Cross multiply
    255,904.80x = 383,823.60 × 78,429.60
  4. Step 4: Simplify right side
    255,904.80x = 30,103,131,418.56
  5. Step 5: Solve for x
    x = 30,103,131,418.56/255,904.80
  6. Step 6: Final answer
    x = 117,634.10

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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.